Musterbildung, Energielandschaften und Skalierungsgesetze

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Publikationen der Gruppen-Mitglieder

Laura Colmenarejo ; Joscha Diehl and Miruna-Stefana Sorea: A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula

In: European journal of combinatorics, 99 (2022), 103406

DOI: 10.1016/j.ejc.2021.103406 ARXIV: https://arxiv.org/abs/2003.01574

Luigi Ambrosio ; Aymeric Baradat and Yann Brenier: \(\Gamma\)-convergence for a class of action functionals induced by gradients of convex functions

ARXIV: https://arxiv.org/abs/2101.07545

L'ubomír Baňas ; Benjamin Gess and Marius Neuß: Stochastic partial differential equations arising in self-organized criticality

ARXIV: https://arxiv.org/abs/2104.13336

Peter Bella and Mathias Schäffner: Local boundedness and Harnack inequality for solutions of linear nonuniformly elliptic equations

In: Communications on pure and applied mathematics, 74 (2021) 3, p. 453-477

DOI: 10.1002/cpa.21876 ARXIV: https://arxiv.org/abs/1901.07958

Peter Benner ; Venera Khoromskaia ; Boris N. Khoromskij ; Cleophas Kweyu and Matthias Stein: Regularization of Poisson-Boltzmann type equations with singular source terms using the range-separated tensor format

In: SIAM journal on scientific computing, 43 (2021) 1, p. A415-A445

MIS-Preprint: 12/2019 DOI: 10.1137/19M1281435 ARXIV: https://arxiv.org/abs/1901.09864

José Carrillo and Rishabh S. Gvalani: Phase transitions for nonlinear nonlocal aggregation-diffusion equations

In: Communications in mathematical physics, 382 (2021) 1, p. 485-545

DOI: 10.1007/s00220-021-03977-4 ARXIV: https://arxiv.org/abs/1912.01965

Michel Chipot ; Wolfgang Hackbusch ; Stefan A. Sauter and Alexander Veit: Numerical approximation of Poisson problems in long domains

In: Vietnam journal of mathematics, Vol. not yet known, pp. not yet known

MIS-Preprint: 101/2018 DOI: 10.1007/s10013-021-00512-9 ARXIV: https://arxiv.org/abs/1811.02227

Konstantinos Dareiotis ; Benjamin Gess ; Manuel V. Gnann and Günther Grün: Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise

In: Archive for rational mechanics and analysis, 242 (2021) 1, p. 179-234

DOI: 10.1007/s00205-021-01682-z ARXIV: https://arxiv.org/abs/2012.04356

Matias G. Delgadino ; Rishabh S. Gvalani and Grigorios A. Pavliotis: On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions

In: Archive for rational mechanics and analysis, 241 (2021) 1, p. 91-148

DOI: 10.1007/s00205-021-01648-1 ARXIV: https://arxiv.org/abs/2001.03920

Francesco Della Porta ; Angkana Rüland ; Jamie M. Taylor and Christian Zillinger: On a probabilistic model for martensitic avalanches incorporating mechanical compatibility

In: Nonlinearity, 34 (2021) 7, p. 4844-4896

DOI: 10.1088/1361-6544/abfca9 ARXIV: https://arxiv.org/abs/2008.00416

Yu Deng and Christian Zillinger: Echo chains as a linear mechanism : norm inflation, modified exponents and asymptotics

In: Archive for rational mechanics and analysis, 242 (2021) 1, p. 643-700

DOI: 10.1007/s00205-021-01697-6 ARXIV: https://arxiv.org/abs/1910.12914

Giovanni Di Fratta ; Antonin Monteil and Valeriy Slastikov: Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization

ARXIV: https://arxiv.org/abs/2106.15830

Paweł Duch: Infrared problem in perturbative quantum field theory

In: Reviews in mathematical physics, Vol. not yet known, pp. not yet known

DOI: 10.1142/s0129055x2150032x ARXIV: https://arxiv.org/abs/1906.00940

Paweł Duch ; Michael Dütsch and Jose M. Gracia-Bondia: Diphoton decay of the higgs from the Epstein-Glaser viewpoint

In: The European physical journal / C, 81 (2021) 2, 131

DOI: 10.1140/epjc/s10052-021-08898-z ARXIV: https://arxiv.org/abs/2011.12675

Benjamin J. Fehrman and Benjamin Gess: Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise

In: Journal de mathématiques pures et appliquées, 148 (2021), p. 221-266

DOI: 10.1016/j.matpur.2021.01.004 ARXIV: https://arxiv.org/abs/1807.04230

Benjamin Gess: Optimal regularity for the porous medium equation

In: Journal of the European Mathematical Society, 23 (2021) 2, p. 425-465

DOI: 10.4171/JEMS/1014 ARXIV: https://arxiv.org/abs/1708.04408

Benjamin Gess and Benjamin J. Fehrman: Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise

ARXIV: https://arxiv.org/abs/2108.08858

Benjamin Gess ; Rishabh S. Gvalani ; Florian Kunick and Felix Otto: Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise

ARXIV: https://arxiv.org/abs/2109.06083

Benjamin Gess and Ivan Yaroslavtsev: Stabilization by transport noise and enhanced dissipation in the Kraichnan model

ARXIV: https://arxiv.org/abs/2104.03949 LINK: https://www.researchgate.net/publication/350749704

Arianna Giunti and Felix Otto: On the existence of the Green function for elliptic systems in divergence form

In: Manuscripta mathematica, Vol. not yet known, pp. not yet known

DOI: 10.1007/s00229-021-01271-0 ARXIV: https://arxiv.org/abs/1911.02110

Michael Goldman ; Martin Huesmann and Felix Otto: Quantitative linearization results for the Monge-Ampère equation

In: Communications on pure and applied mathematics, Vol. not yet known, pp. not yet known

DOI: 10.1002/cpa.21994 ARXIV: https://arxiv.org/abs/1905.09678 LINK: https://cvgmt.sns.it/paper/4308

Gennadij Heidel ; Venera Khoromskaia ; Boris N. Khoromskij and Volker Schulz: Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints

In: Journal of computational physics, 424 (2021), 109865

MIS-Preprint: 81/2018 DOI: 10.1016/j.jcp.2020.109865 ARXIV: https://arxiv.org/abs/1809.01971

Felipe Hermandez ; Bogdan Raiţă and Daniel Spector: Endpoint \(L^1\) estimates for Hodge systems

ARXIV: https://arxiv.org/abs/2108.06857

Jonas Hirsch and Mathias Schäffner: Growth conditions and regularity, an optimal local boundedness result

In: Communications in contemporary mathematics, 23 (2021) 3, 2050029

DOI: 10.1142/S0219199720500297 ARXIV: https://arxiv.org/abs/1911.12822

Dirk Hundertmark ; Peer Christian Kunstmann ; Tobias Ried and Semjon Vugalter: Counting bound states with maximal Fourier multipliers

In: Partial differential equations, spectral theory, and mathematical physics : the Ari Laptev anniversary volume / Pavel Exner... (eds.)

Berlin : EMS Press, 2021. - P. 197-207

(EMS series of congress reports ; 18)

DOI: 10.4171/ECR/18-1/11

Marc Josien and Claudia Raithel: Quantitative homogenization for the case of an interface between two heterogeneous media

In: SIAM journal on mathematical analysis, 53 (2021) 1, p. 813-854

MIS-Preprint: 5/2020 DOI: 10.1137/20M1311983 ARXIV: https://arxiv.org/abs/1912.00724

Venera Khoromskaia and Boris N. Khoromskij: Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems

In: Computational mathematics and mathematical physics, 61 (2021) 5, p. 864-886

MIS-Preprint: 23/2020 DOI: 10.1134/S0965542521050110 ARXIV: https://arxiv.org/abs/2001.11393

Pablo Linares ; Markus Tempelmayr and Felix Otto: The structure group for quasi-linear equations via universal enveloping algebras

ARXIV: https://arxiv.org/abs/2103.04187

Jianfeng Lu and Felix Otto: Optimal artificial boundary condition for random elliptic media

In: Foundations of computational mathematics, Vol. not yet known, pp. not yet known

DOI: 10.1007/s10208-021-09492-1 ARXIV: https://arxiv.org/abs/1803.09593

Jianfeng Lu ; Felix Otto and Lihan Wang: Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media

ARXIV: https://arxiv.org/abs/2109.01616

Stephan Luckhaus and Konstantinos Zemas: Rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^{n}\)

ARXIV: https://arxiv.org/abs/2101.03846

Tatsuya Miura and Felix Otto: Sharp boundary \(\varepsilon\)-regularity of optimal transport maps

In: Advances in mathematics, 381 (2021), 107603

DOI: 10.1016/j.aim.2021.107603 ARXIV: https://arxiv.org/abs/2002.08668

Massimiliano Morini ; Cyrill B. Muratov ; Matteo Novaga and Valeriy Slastikov: Transverse domain walls in thin ferromagnetic strips

ARXIV: https://arxiv.org/abs/2106.01338

Felix Otto ; Maxime Prod'homme and Tobias Ried: Variational approach to regularity of optimal transport maps : general cost functions

In: Annals of PDE, 7 (2021) 2, 17

MIS-Preprint: 20/2021 DOI: 10.1007/s40818-021-00106-1 ARXIV: https://arxiv.org/abs/2007.11549

Felix Otto ; Jonas Sauer ; Scott A. Smith and Hendrik Weber: A priori bounds for quasi-linear SPDEs in the full sub-critical regime

ARXIV: https://arxiv.org/abs/2103.11039

Bogdan Raiţă ; Daniel Spector and Dmitriy Stolyarov: A trace inequality for solenoidal charges

ARXIV: https://arxiv.org/abs/2109.02029

Britta Schmitt ; Boris N. Khoromskij ; Venera Khoromskaia and Volker H. Schulz: Tensor method for optimal control problems constrained by fractional 3D elliptic operator with variable coefficients

In: Numerical linear algebra with applications, Vol. not yet known, pp. not yet known

DOI: 10.1002/nla.2404 ARXIV: https://arxiv.org/abs/2006.09314

Matti Schneider ; Marc Josien and Felix Otto: Representative volume elements for matrix-inclusion composites : a computational study on periodizing the ensemble

ARXIV: https://arxiv.org/abs/2103.07627

Thilo Martin Simon: Rigidity of branching microstructures in shape memory alloys

In: Archive for rational mechanics and analysis, 241 (2021) 3, p. 1707-1783

DOI: 10.1007/s00205-021-01679-8 ARXIV: https://arxiv.org/abs/1705.03664

Li Wang ; Qiang Xu and Peihao Zhao: Convergence rates for linear elasticity systems on perforated domains

In: Calculus of variations and partial differential equations, 60 (2021) 2, 74

DOI: 10.1007/s00526-021-01933-7

Luigi Ambrosio ; Aymeric Baradat and Yann Brenier: Monge-Ampère gravitation as a \(\Gamma\)-limit of good rate functions

ARXIV: https://arxiv.org/abs/2002.11966 LINK: https://personal-homepages.mis.mpg.de/baradat/research.html

L'ubomír Baňas ; Benjamin Gess and Christian Vieth: Numerical approximation of singular-degenerate parabolic stochastic PDEs

ARXIV: https://arxiv.org/abs/2012.12150

Aymeric Baradat: Nonlinear instability in Vlasov type equations around rough velocity profiles

In: Annales de l'Institut Henri Poincaré / C, 37 (2020) 3, p. 489-547

DOI: 10.1016/j.anihpc.2019.12.002 ARXIV: https://arxiv.org/abs/1811.01350

Aymeric Baradat: On the existence of a scalar pressure field in the Brödinger problem

In: SIAM journal on mathematical analysis, 52 (2020) 1, p. 370-401

DOI: 10.1137/19M127700X ARXIV: https://arxiv.org/abs/1803.06299

Aymeric Baradat and Christian Léonard: Minimizing relative entropy of path measures under marginal constraints

ARXIV: https://arxiv.org/abs/2001.10920

Sebastian Becker ; Benjamin Gess ; Arnulf Jentzen and Peter E. Kloeden: Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations

In: BIT : numerical mathematics, 60 (2020) 4, p. 1057-1073

DOI: 10.1007/s10543-020-00807-2 ARXIV: https://arxiv.org/abs/1811.01725

Peter Bella ; Arianna Giunti and Felix Otto: Effective multipoles in random media

In: Communications in partial differential equations, 45 (2020) 6, p. 561-640

DOI: 10.1080/03605302.2020.1743309 ARXIV: https://arxiv.org/abs/1708.07672

Katarína Bellová ; Antoine Julia and Felix Otto: Uniform energy distribution in a pattern-forming system of surface charges

ARXIV: https://arxiv.org/abs/2004.01242

Dominic Breit ; Lars Diening and Franz Gmeineder: On the trace operator for functions of bounded \(\mathbb{A}\)-variation

In: Analysis and PDE, 13 (2020) 2, p. 559-594

DOI: 10.2140/apde.2020.13.559 ARXIV: https://arxiv.org/abs/1707.06804

José Carrillo ; Rishabh S. Gvalani and Jeremy Wu: An invariance principle for gradient flows in the space of probability measures

ARXIV: https://arxiv.org/abs/2010.00424

Mihajilo Cekić ; Yi-Hsuan Lin and Angkana Rüland: The Calderón problem for the fractional Schrödinger equation with drift

In: Calculus of variations and partial differential equations, 59 (2020) 3, 91

DOI: 10.1007/s00526-020-01740-6 ARXIV: https://arxiv.org/abs/1810.04211

Pierluigi Cesana ; Francesco Della Porta ; Angkana Rüland ; Christian Zillinger and Barbara Zwicknagl: Exact constructions in the (non-linear) planar theory of elasticity : from elastic crystals to nematic elastomers

In: Archive for rational mechanics and analysis, 237 (2020) 1, p. 383-445

DOI: 10.1007/s00205-020-01511-9 ARXIV: https://arxiv.org/abs/1904.08820

Geng Chen ; Sam G. Krupa and Alexis F. Vasseur: Uniqueness and weak-BV stability for \(2\times 2\) conservation laws

ARXIV: https://arxiv.org/abs/2010.04761

Konstantinos Dareiotis ; Máté Gerencscér and Benjamin Gess: Porous media equations with multiplicative space-time white noise

In: Annales de l'Institut Henri Poincaré / B, Vol. not yet known, pp. not yet known

ARXIV: https://arxiv.org/abs/2002.12924

Konstantinos Dareiotis and Benjamin Gess: Nonlinear diffusion equations with nonlinear gradient noise

In: Electronic journal of probability, 25 (2020), 35

DOI: 10.1214/20-EJP436 ARXIV: https://arxiv.org/abs/1811.08356

Konstantinos Dareiotis ; Benjamin Gess and Pavlos Tsatsoulis: Ergodicity for stochastic porous media equations with multiplicative noise

In: SIAM journal on mathematical analysis, 52 (2020) 5, p. 4524-4564

DOI: 10.1137/19M1278521 ARXIV: https://arxiv.org/abs/1907.04605

Francesco Della Porta and Angkana Rüland: Convex integration solutions for the geometrically non-linear two-well problem with higher Sobolev regularity

In: Mathematical models and methods in applied sciences, 30 (2020) 3, p. 611-651

DOI: 10.1142/S0218202520500153 ARXIV: https://arxiv.org/abs/1905.12521

Yu Deng and Christian Zillinger: On the smallness condition in linear inviscid damping : monotonicity and resonance chains

In: Nonlinearity, 33 (2020) 11, p. 6176-6194

DOI: 10.1088/1361-6544/aba236 ARXIV: https://arxiv.org/abs/1911.02066

Joscha Diehl ; Terry Lyons ; Rosa Preiß and Jeremy Reizenstein: Areas of areas generate the shuffle algebra

ARXIV: https://arxiv.org/abs/2002.02338

Joscha Diehl ; Rosa Preiß ; Michael Ruddy and Nikolas Tapia: The moving frame method for iterated-integrals: orthogonal invariants

ARXIV: https://arxiv.org/abs/2012.05880

Nicolas Dirr ; Benjamin J. Fehrman and Benjamin Gess: Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process

ARXIV: https://arxiv.org/abs/2012.02126

Mitia Duerinckx ; Antoine Gloria and Felix Otto: Robustness of the pathwise structure of fluctuations in stochastic homogenization

In: Probability theory and related fields, 178 (2020) 1/2, p. 531-566

DOI: 10.1007/s00440-020-00983-w ARXIV: https://arxiv.org/abs/1807.11781

Mitia Duerinckx ; Antoine Gloria and Felix Otto: The structure of fluctuations in stochastic homogenization

In: Communications in mathematical physics, 377 (2020) 1, p. 259-306

DOI: 10.1007/s00220-020-03722-3 ARXIV: http://arxiv.org/abs/1602.01717

Benjamin J. Fehrman ; Benjamin Gess and Arnulf Jentzen: Convergence rates for the stochastic gradient descent method for non-convex objective functions

In: Journal of machine learning research, 21 (2020) 136, p. 1-48

ARXIV: https://arxiv.org/abs/1904.01517 LINK: https://jmlr.csail.mit.edu/papers/v21/19-636.html

Aingeru Fernández-Bertolin ; Luz Roncal ; Angkana Rüland and Diana Stan: Discrete Carleman estimates and three balls inequalities

ARXIV: https://arxiv.org/abs/2003.00491

Franco Flandoli ; Benjamin Gess and Francesco Grotto: An example of intrinsic randomness in deterministic PDEs

ARXIV: https://arxiv.org/abs/2012.04398

María Angeles García-Ferrero and Angkana Rüland: On two methods for quantitative unique continuation results for some nonlocal operators

In: Communications in partial differential equations, 45 (2020) 11, p. 1512-1560

DOI: 10.1080/03605302.2020.1776323 ARXIV: https://arxiv.org/abs/2003.06402

Paul Gassiat ; Benjamin Gess ; Pierre-Louis Lions and Panagiotis E. Souganidis: Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

In: Probability theory and related fields, 176 (2020) 1/2, p. 421-448

DOI: 10.1007/s00440-019-00921-5 ARXIV: https://arxiv.org/abs/1805.08477

Benjamin Gess and Manuel V. Gnann: The stochastic thin-film equation : existence of nonnegative martingale solutions

In: Stochastic processes and their applications, 130 (2020) 12, p. 7260-7302

DOI: 10.1016/j.spa.2020.07.013 ARXIV: https://arxiv.org/abs/1904.08951 LINK: https://www.researchgate.net/publication/332565323

Benjamin Gess ; Wei Liu and Andre Schenke: Random attractors for locally monotone stochastic partial differential equations

In: Journal of differential equations, 269 (2020) 4, p. 3414-3455

DOI: 10.1016/j.jde.2020.03.002 ARXIV: https://arxiv.org/abs/1908.03539

Benjamin Gess ; Cheng Ouyang and Samy Tindel: Density bounds for solutions to differential equations driven by Gaussian rough paths

In: Journal of theoretical probability, 33 (2020) 2, p. 611-648

DOI: 10.1007/s10959-019-00967-0 ARXIV: https://arxiv.org/abs/1712.02740

Benjamin Gess ; Jonas Sauer and Eitan Tadmor: Optimal regularity in time and space for the porous medium equation

In: Analysis and PDE, 13 (2020) 8, p. 2441-2480

DOI: 10.2140/apde.2020.13.2441 ARXIV: https://arxiv.org/abs/1902.08632

Benjamin Gess and Pavlos Tsatsoulis: Synchronization by noise for the stochastic quantization equation in dimensions \(2\) and \(3\)

In: Stochastics and dynamics, 20 (2020) 6, 240006

DOI: 10.1142/S0219493720400067 ARXIV: https://arxiv.org/abs/1910.07769

Tuhin Ghosh ; Angkana Rüland ; Mikko Salo and Gunther Uhlmann: Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

In: Journal of functional analysis, 279 (2020) 1, 108505

DOI: 10.1016/j.jfa.2020.108505 ARXIV: https://arxiv.org/abs/1801.04449

Antoine Gloria ; Stefan Neukamm and Felix Otto: A regularity theory for random elliptic operators

In: Milan journal of mathematics, 88 (2020) 1, p. 99-170

DOI: 10.1007/s00032-020-00309-4 ARXIV: https://arxiv.org/abs/1409.2678

Michael Goldman: Self-similar minimizers of a branched transport functional

In: Indiana University mathematics journal, 69 (2020) 4, p. 1073-1104

DOI: 10.1512/iumj.2020.69.7945 ARXIV: https://arxiv.org/abs/1704.05342

Michael Goldman and Felix Otto: A variational proof of partial regularity for optimal transportation maps

In: Annales scientifiques de l'Ecole Normale Supérieure, 53 (2020) 5, p. 1209-1233

DOI: 10.24033/asens.2444 ARXIV: https://arxiv.org/abs/1704.05339

Massimiliano Gubinelli and Nicolas Perkowski: The infinitesimal generator of the stochastic Burgers equation

In: Probability theory and related fields, 178 (2020) 3/4, p. 1067-1124

DOI: 10.1007/s00440-020-00996-5 ARXIV: https://arxiv.org/abs/1810.12014

André Guerra and Bogdan Raiţă: On the necessity of the constant rank condition for \(L^p\) estimates

In: Comptes rendus mathematique, 358 (2020) 9/10, p. 1091-1095

DOI: 10.5802/crmath.105 ARXIV: https://arxiv.org/abs/2007.00484

André Guerra ; Bogdan Raiţă and Matthew R. I. Schrecker: Compensated compactness : continuity in optimal weak topologies

ARXIV: https://arxiv.org/abs/2007.00564

Viktor Holubec ; Stefano Steffenoni ; Gianmaria Falasco and Klaus Kroy: Active Brownian heat engines

In: Physical review research, 2 (2020) 4, 043262

DOI: 10.1103/PhysRevResearch.2.043262 ARXIV: https://arxiv.org/abs/2001.10448

Radu Ignat ; Felix Otto ; Tobias Ried and Pavlos Tsatsoulis: Variational methods for a singular SPDE yielding the universality of the magnetization ripple

ARXIV: https://arxiv.org/abs/2010.13123

Marc Josien and Felix Otto: The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization

MIS-Preprint: 57/2020 ARXIV: https://arxiv.org/abs/2005.08811 LINK: https://hal.archives-ouvertes.fr/hal-02612489/

Gunnar Kaib ; Kyungkeun Kang and Angela Stevens: Global minimisers for anisotropic attractive-repulsive interactions

In: European journal of applied mathematics, 31 (2020) 5, p. 854-870

MIS-Preprint: 32/2019 DOI: 10.1017/S0956792519000299

Venera Khoromskaia and Boris N. Khoromskij: Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients

ARXIV: https://arxiv.org/abs/2007.06524

Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto: Numerical study in stochastic homogenization for elliptic partial differential equations : convergence rate in the size of representative volume elements

In: Numerical linear algebra with applications, 27 (2020) 3, e2296

DOI: 10.1002/nla.2296 ARXIV: https://arxiv.org/abs/1903.12227

Aleksander Klimek and Tommaso Cornelis Rosati: The spatial \(\lambda\)-Fleming-Viot process in a random environment

ARXIV: https://arxiv.org/abs/2004.05931

Jan Kristensen and Bogdan Raiţă: An introduction to generalized Young measures

LINK: https://www.mis.mpg.de/publications/other-series/ln/4520.html

Ru-Yu Lai ; Yi-Hsuan Lin and Angkana Rüland: The Calderón problem for a space-time fractional parabolic equation

In: SIAM journal on mathematical analysis, 52 (2020) 3, p. 2655-2688

DOI: 10.1137/19M1270288 ARXIV: https://arxiv.org/abs/1905.08719

Tim Bastian Laux and Felix Otto: The thresholding scheme for mean curvature flow and De Giorgi's ideas for minimizing movements

In: The role of metrics in the theory of partial differential equations : proceedings ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)

Tokyo : Mathematical Society of Japan, 2020. - P. 63-93

(Advanced studies in pure mathematics ; 85)

DOI: 10.2969/aspm/08510063 ARXIV: https://arxiv.org/abs/1910.11442 LINK: http://www.mis.mpg.de/fileadmin/otto/Proceedings090119-2019-02-19.pdf

Tim Bastian Laux and Felix Otto: Brakke's inequality for the thresholding scheme

In: Calculus of variations and partial differential equations, 59 (2020) 1, 39

MIS-Preprint: 52/2017 DOI: 10.1007/s00526-020-1696-8 ARXIV: https://arxiv.org/abs/1708.03071

Tobias Lehmann ; Max von Renesse ; Alexander Sambale and André Uschmajew: A note on overrelaxation in the Sinkhorn algorithm

MIS-Preprint: 110/2020 ARXIV: https://arxiv.org/abs/2012.12562

Stephan Luckhaus: Mathematical epidemiology : SIR models and COVID-19

MIS-Preprint: 60/2020

Stephan Luckhaus: Corona, mathematical epidemiology, herd immunity, and data

MIS-Preprint: 105/2020 LINK: https://www.math.uni-leipzig.de/preprints/p2010.0010.pdf

Jörg Martin and Nicolas Perkowski: A Littlewood-Paley description of modelled distributions

In: Journal of functional analysis, 279 (2020) 6, 108634

DOI: 10.1016/j.jfa.2020.108634 ARXIV: https://arxiv.org/abs/1808.00500

Tatsuya Miura: Elastic curves and phase transitions

In: Mathematische Annalen, 376 (2020) 3/4, p. 1629-1674

DOI: 10.1007/s00208-019-01821-8 ARXIV: https://arxiv.org/abs/1710.05890

Nicolas Perkowski and Willem Van Zuijlen: Quantitative heat kernel estimates for diffusions with distributional drift

ARXIV: https://arxiv.org/abs/2009.10786

Bogdan Raiţă and Anna Skorobogatova: Continuity and canceling operators of order \(n\) on \({\mathbb{R}}^n\)

In: Calculus of variations and partial differential equations, 59 (2020) 2, 85

DOI: 10.1007/s00526-020-01739-z ARXIV: https://arxiv.org/abs/1903.03574

Claudia Raithel and Jonas Sauer: The initial value problem for singular SPDEs via rough paths

ARXIV: https://arxiv.org/abs/2001.00490

Angkana Rüland and Mikko Salo: Quantitative approximation properties for the fractional heat equation

In: Mathematical control and related fields, 10 (2020) 1, p. 1-26

DOI: 10.3934/mcrf.2019027 ARXIV: https://arxiv.org/abs/1708.06300

Angkana Rüland and Mikko Salo: The fractional Calderón problem : low regularity and stability

In: Nonlinear analysis / A, 193 (2020), 111529

DOI: 10.1016/j.na.2019.05.010 ARXIV: https://arxiv.org/abs/1708.06294

Angkana Rüland and Eva Sincich: On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem

In: Applicable analysis : an international journal, Vol. not yet known, pp. not yet known

DOI: 10.1080/00036811.2020.1738403 ARXIV: https://arxiv.org/abs/2002.09319

Angkana Rüland ; Christian Zillinger and Barbara Zwicknagl: Higher Sobolev regularity of convex integration solutions in elasticity : the planar geometrically linearized hexagonal-to-rhombic phase transformation

In: Journal of elasticity, 138 (2020) 1, p. 1-76

DOI: 10.1007/s10659-018-09719-3 ARXIV: https://arxiv.org/abs/1610.02529

Fabio Sozio ; Mostafa Faghih Shojaei ; Souhayl Sadik and Arash Yavari: Nonlinear mechanics of thermoelastic accretion

In: Zeitschrift für Angewandte Mathematik und Physik, 71 (2020) 3, 87

DOI: 10.1007/s00033-020-01309-5 LINK: https://www.researchgate.net/publication/340460032

Pavlos Tsatsoulis and Hendrik Weber: Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise

In: Probability theory and related fields, 177 (2020) 1/2, p. 257-322

DOI: 10.1007/s00440-019-00945-x ARXIV: https://arxiv.org/abs/1808.04171

Li Wang ; Qiang Xu and Peihao Zhao: Quantitative estimates for homogenization of nonlinear elliptic operators in perforated domains

ARXIV: https://arxiv.org/abs/2001.06317

Li Wang ; Qiang Xu and Peihao Zhao: Suboptimal error estimates for homogenization of linear elasticity systems on perforated domains

ARXIV: https://arxiv.org/abs/2001.06874 LINK: https://www.researchgate.net/publication/338737872

Konstantinos Zemas: Geometric rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^{n}\)

Dissertation, Univeristät Leipzig, 2020

LINK: https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-730906

Peter Bella ; Alberto Chiarini and Benjamin J. Fehrman: A Liouville theorem for stationary and ergodic ensembles of parabolic systems

In: Probability theory and related fields, 173 (2019) 3/4, p. 759-812

MIS-Preprint: 37/2017 DOI: 10.1007/s00440-018-0843-z ARXIV: https://arxiv.org/abs/1706.03440

Peter Benner ; Venera Khoromskaia ; Boris N. Khoromskij and Chao Yang: Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

In: Journal of computational physics, 382 (2019), p. 221-239

MIS-Preprint: 35/2018 DOI: 10.1016/j.jcp.2019.01.011 ARXIV: https://arxiv.org/abs/1801.03852

Yvain Bruned ; Ilya Chevyrev ; Peter K. Friz and Rosa Preiß: A rough path perspective on renormalization

In: Journal of functional analysis, 277 (2019) 11, 108283

DOI: 10.1016/j.jfa.2019.108283 ARXIV: https://arxiv.org/abs/1701.01152

Wentao Cao: The semi-global isometric embedding of surfaces with curvature changing signs stably

In: Proceedings of the American Mathematical Society, 147 (2019) 10, p. 4343-4353

DOI: 10.1090/proc/14597 ARXIV: https://arxiv.org/abs/2006.04507

Wentao Cao and László Székelyhidi: \(C^{1,\alpha}\) isometric extensions

In: Communications in partial differential equations, 44 (2019) 7, p. 613-636

DOI: 10.1080/03605302.2019.1581806 ARXIV: https://arxiv.org/abs/1806.07335

Wentao Cao and László Székelyhidi: Very weak solutions to the two-dimensional Monge-Ampére equation

In: Science China mathematics, 62 (2019) 6, p. 1041-1056

DOI: 10.1007/s11425-018-9516-7 ARXIV: https://arxiv.org/abs/1903.06213

Antonin Chambolle and Tim Bastian Laux: Mullins-Sekerka as the Wasserstein flow of the perimeter

ARXIV: https://arxiv.org/abs/1910.02508

Khalil Chouk and Benjamin Gess: Path-by-path regularization by noise for scalar conservation laws

In: Journal of functional analysis, 277 (2019) 5, p. 1469-1498

DOI: 10.1016/j.jfa.2019.06.005 ARXIV: https://arxiv.org/abs/1708.00823

Olga Chugreeva ; Felix Otto and Maria G. Westdickenberg: Relaxation to a planar interface in the Mullins-Sekerka problem

In: Interfaces and free boundaries, 21 (2019) 1, p. 21-40

DOI: 10.4171/IFB/415 ARXIV: https://arxiv.org/abs/1709.04833

Michele Coghi and Benjamin Gess: Stochastic nonlinear Fokker-Planck equations

In: Nonlinear analysis / A, 187 (2019), p. 259-278

DOI: 10.1016/j.na.2019.05.003 ARXIV: https://arxiv.org/abs/1904.07894

Maria Colombo and Luca Spolaor: Quantitative estimate on singularities in isoperimetric clusters

In: Communications in analysis and geometry, 27 (2019) 6, p. 1233-1249

DOI: 10.4310/CAG.2019.v27.n6.a2 ARXIV: https://arxiv.org/abs/1609.08597 LINK: http://cvgmt.sns.it/paper/3306/

Rama Cont and Nicolas Perkowski: Pathwise integration and change of variable formulas for continuous paths with arbitrary regularity

In: Transactions of the American Mathematical Society / B, 6 (2019), p. 161-186

DOI: 10.1090/btran/34 ARXIV: https://arxiv.org/abs/1803.09269

Antoine Dahlqvist ; Joscha Diehl and Bruce Driver: The parabolic Anderson model on Riemann surfaces

In: Probability theory and related fields, 174 (2019) 1-2, p. 369-444

DOI: 10.1007/s00440-018-0857-6 ARXIV: https://arxiv.org/abs/1702.02965

Sara Daneri and Eris Runa: Exact periodic stripes for a minimizers of a local/non-local interaction functional in general dimension

In: Archive for rational mechanics and analysis, 231 (2019) 1, p. 519-589

DOI: 10.1007/s00205-018-1285-6 ARXIV: https://arxiv.org/abs/1702.07334

Konstantinos Dareiotis ; Máté Gerencscér and Benjamin Gess: Entropy solutions for stochastic porous media equations

In: Journal of differential equations, 266 (2019) 6, p. 3732-3763

DOI: 10.1016/j.jde.2018.09.012 ARXIV: https://arxiv.org/abs/1803.06953

Konstantinos Dareiotis and Benjamin Gess: Supremum estimates for degenerate, quasilinear stochastic partial differential equations

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 3, p. 1765-1796

DOI: 10.1214/18-AIHP934 ARXIV: https://arxiv.org/abs/1712.06655

Camillo De Lellis ; Antonio De Rosa and Francesco Ghiraldin: A direct approach to the anisotropic Plateau problem

In: Advances in calculus of variations, 12 (2019) 2, p. 211-223

DOI: 10.1515/acv-2016-0057 ARXIV: http://arxiv.org/abs/1602.08757

Jean-Dominique Deuschel ; Tal Orenshtein and Nicolas Perkowski: Additive functionals as rough paths

ARXIV: https://arxiv.org/abs/1912.09819

Joscha Diehl and Jeremy Reizenstein: Invariants of multidimensional time series based on their iterated-integral signature

In: Acta applicandae mathematicae, 164 (2019) 1, p. 83-122

DOI: 10.1007/s10440-018-00227-z ARXIV: https://arxiv.org/abs/1801.06104

Benjamin J. Fehrman: On the exit time and stochastic homogenization of isotropic diffusions in large domains

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 2, p. 720-755

MIS-Preprint: 46/2016 DOI: 10.1214/18-AIHP896 ARXIV: http://arxiv.org/abs/1602.08664

Benjamin J. Fehrman and Benjamin Gess: Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

In: Archive for rational mechanics and analysis, 233 (2019) 1, p. 249-322

DOI: 10.1007/s00205-019-01357-w ARXIV: https://arxiv.org/abs/1712.05775

Benjamin J. Fehrman and Benjamin Gess: Large deviations for conservative stochastic PDE and non-equilibrium fluctuations

ARXIV: https://arxiv.org/abs/1910.11860

Julian Fischer and Olivier Kneuss: Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^p\) data

In: Journal of differential equations, 266 (2019) 1, p. 257-311

DOI: 10.1016/j.jde.2018.07.045 ARXIV: https://arxiv.org/abs/1408.1587

María Angeles García-Ferrero and Angkana Rüland: Strong unique continuation for the higher order fractional Laplacian

In: Mathematics in engineering, 1 (2019) 4, p. 715-774

DOI: 10.3934/mine.2019.4.715 ARXIV: https://arxiv.org/abs/1902.09851

Paul Gassiat and Benjamin Gess: Regularization by noise for stochastic Hamilton-Jacobi equations

In: Probability theory and related fields, 173 (2019) 3/4, p. 1063-1098

DOI: 10.1007/s00440-018-0848-7 ARXIV: https://arxiv.org/abs/1609.07074

Benjamin Gess and Xavier Lamy: Regularity of solutions to scalar conservation laws with a force

In: Annales de l'Institut Henri Poincaré / C, 36 (2019) 2, p. 505-521

DOI: 10.1016/j.anihpc.2018.07.002 ARXIV: https://arxiv.org/abs/1707.06866

Benjamin Gess and Scott A. Smith: Stochastic continuity equations with conservative noise

In: Journal de mathématiques pures et appliquées, 128 (2019), p. 225-263

DOI: 10.1016/j.matpur.2019.02.002 ARXIV: https://arxiv.org/abs/1710.04906

Arianna Giunti ; Yu Gu and Jean-Christophe Mourrat: Heat kernel upper bounds for interacting particle systems

In: The annals of probability, 47 (2019) 2, p. 1056-1095

MIS-Preprint: 60/2016 DOI: 10.1214/18-AOP1279 ARXIV: http://arxiv.org/abs/1609.02527

Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantitative estimates in stochastic homogenization for correlated coefficient fields

ARXIV: https://arxiv.org/abs/1910.05530

Manuel V. Gnann ; Slim Ibrahim and Nader Masmoudi: Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem

In: Advances in mathematics, 347 (2019), p. 1173-1243

DOI: 10.1016/j.aim.2019.01.028 ARXIV: https://arxiv.org/abs/1704.06596

Michael Goldman and Eris Runa: On the optimality of stripes in a variational model with non-local interactions

In: Calculus of variations and partial differential equations, 58 (2019) 3, 103

DOI: 10.1007/s00526-019-1533-0 ARXIV: https://arxiv.org/abs/1611.07228

André Guerra and Bogdan Raiţă: Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints

ARXIV: https://arxiv.org/abs/1909.03923

Viktor Holubec ; Klaus Kroy and Stefano Steffenoni: Physically consistent numerical solver for time-dependent Fokker-Planck equations

In: Physical review / E, 99 (2019) 3, 032117

DOI: 10.1103/PhysRevE.99.032117 ARXIV: https://arxiv.org/abs/1804.01285

Radu Ignat and Felix Otto: The magnetization ripple : a nonlocal stochastic PDE perspective

In: Journal de mathématiques pures et appliquées, 130 (2019), p. 157-199

DOI: 10.1016/j.matpur.2019.01.010 ARXIV: https://arxiv.org/abs/1709.01374

Marc Josien: Some quantitative homogenization results in a simple case of interface

In: Communications in partial differential equations, 44 (2019) 10, p. 907-939

MIS-Preprint: 102/2018 DOI: 10.1080/03605302.2019.1610892 LINK: https://hal.archives-ouvertes.fr/hal-01946297

Marc Josien: Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients

In: Asymptotic analysis, 112 (2019) 3-4, p. 227-246

DOI: 10.3233/ASY-181504 ARXIV: https://arxiv.org/abs/1807.09062

Sara Kališnik Verovšek ; Christian Lehn and Vlada Limic: Geometric and probabilistic limit theorems in topological data analysis

MIS-Preprint: 27/2019 ARXIV: https://arxiv.org/abs/1903.00470

Kyungkeun Kang ; Arnd Scheel and Angela Stevens: Global phase diagrams of run-and-tumble dynamics : equidistribution, waves, and blowup

In: Nonlinearity, 32 (2019) 6, p. 2128-2146

MIS-Preprint: 38/2018 DOI: 10.1088/1361-6544/ab046d ARXIV: https://arxiv.org/abs/1805.11903

Boris N. Khoromskij ; Kishore Kumar Naraparaju and Jan Schneider: Quantized CP approximation and sparse tensor interpolation of function-generated data

In: Numerical linear algebra with applications, 26 (2019) 5, e2262

DOI: 10.1002/nla.2262 ARXIV: https://arxiv.org/abs/1707.04525

Georgy Kitavtsev ; Gianluca Lauteri ; Stephan Luckhaus and Angkana Rüland: A compactness and structure result for a discrete multi-well problem with \(\text{SO}(n)\) symmetry in arbitrary dimension

In: Archive for rational mechanics and analysis, 232 (2019) 1, p. 531-555

DOI: 10.1007/s00205-018-1327-0 ARXIV: https://arxiv.org/abs/1711.08271

Hans Knüpfer and Felix Otto: Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence of self-accommodation

In: Zeitschrift für angewandte Mathematik und Mechanik, 99 (2019) 2, e201800179

DOI: 10.1002/zamm.201800179

Herbert Koch ; Angkana Rüland and Wenhui Shi: Higher regularity for the fractional thin obstacle problem

In: New York journal of mathematics, 25 (2019), p. 745-838

ARXIV: https://arxiv.org/abs/1605.06662 LINK: http://nyjm.albany.edu/j/2019/25-35.html

Vitalii Konarovskyi and Max von Renesse: Modified massive Arratia flow and Wasserstein diffusion

In: Communications on pure and applied mathematics, 72 (2019) 4, p. 764-800

DOI: 10.1002/cpa.21758 ARXIV: http://arxiv.org/abs/1504.00559

Jan Kristensen and Bogdan Raiţă: Oscillation and concentration in sequences of PDE constrained measures

ARXIV: https://arxiv.org/abs/1912.09190

Mads Kyed and Jonas Sauer: On time-periodic solutions to parabolic boundary value problems

In: Mathematische Annalen, 374 (2019) 1-2, p. 37-65

DOI: 10.1007/s00208-018-1721-9 ARXIV: https://arxiv.org/abs/1705.07230

Tim Bastian Laux and Aaron Nung Kwan Yip: Analysis of diffusion generated motion for mean curvature flow in codimension two : a gradient-flow approach

In: Archive for rational mechanics and analysis, 232 (2019) 2, p. 1113-1163

DOI: 10.1007/s00205-018-01340-x ARXIV: https://arxiv.org/abs/1804.00747

Alexander Litvinenko ; David Keyes ; Venera Khoromskaia ; Boris N. Khoromskij and Hermann G. Matthies: Tucker tensor analysis of Matérn functions in spatial statistics

In: Computational methods in applied mathematics, 19 (2019) 1, p. 101-122

MIS-Preprint: 25/2018 DOI: 10.1515/cmam-2018-0022 ARXIV: https://arxiv.org/abs/1711.06874

Stephan Luckhaus and Konstantinos Zemas: Stability estimates for the conformal group of \(\mathbb{S}^{n-1}\) in dimension \(n\geq 3\)

MIS-Preprint: 92/2019 ARXIV: https://arxiv.org/abs/1910.01862

Jörg Martin and Nicolas Perkowski: Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 4, p. 2058-2110

DOI: 10.1214/18-AIHP942 ARXIV: https://arxiv.org/abs/1704.08653

Ulrich Menne: Pointwise differentiability of higher order for sets

In: Annals of global analysis and geometry, 55 (2019) 3, p. 591-621

DOI: 10.1007/s10455-018-9642-0 ARXIV: https://arxiv.org/abs/1603.08587

Felix Otto ; Mitia Duerinckx and Marc Josien: Quantitative stochastic homogenization [In: Computational multiscale methods ; 28 July - 3 August 2019 ; report no. 35/2019]

In: Oberwolfach reports, 16 (2019) 3, p. 2160-2163

DOI: 10.4171/OWR/2019/35 LINK: https://publications.mfo.de/handle/mfo/3783

Felix Otto ; Michael Goldman and Marc Josien: A generalization of the entropy identity for Burgers' equation and application to the Kuramoto-Sivashinsky equation [In: Mathematical aspects of hydrodynamics ; 18 August - 24 August 2019 ; report no. 38/2019]

In: Oberwolfach reports, 16 (2019) 3, p. 2374-2377

DOI: 10.4171/OWR/2019/38 LINK: https://publications.mfo.de/handle/mfo/3786

Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg: Optimal \(L^1\)-relaxation rates for the Cahn-Hilliard equation on the line [In: Surface, bulk, and geometric partial differential equations : interfacial, stochastic, non-local and discrete structures ; 20 January - 26 January 2019 ; report no. 3/2019]

In: Oberwolfach reports, 16 (2019) 1, p. 170-172

DOI: 10.4171/OWR/2019/3 LINK: https://publications.mfo.de/handle/mfo/3718

Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg: Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line

In: SIAM journal on mathematical analysis, 51 (2019) 6, p. 4645-4682

DOI: 10.1137/18M1192640 ARXIV: https://arxiv.org/abs/1806.02519

Felix Otto and Hendrik Weber: Quasilinear SPDEs via rough paths

In: Archive for rational mechanics and analysis, 232 (2019) 2, p. 873-950

DOI: 10.1007/s00205-018-01335-8 ARXIV: http://arxiv.org/abs/1605.09744

Felix Otto and Hendrik Weber: Quasi-linear SPDEs in divergence form

In: Stochastics and partial differential equations : analysis and computations, 7 (2019) 1, p. 64-85

DOI: 10.1007/s40072-018-0122-0 ARXIV: https://arxiv.org/abs/1707.01424

Nicolas Perkowski and Tommaso Cornelis Rosati: The KPZ equation on the real line

In: Electronic journal of probability, 24 (2019), 117

DOI: 10.1214/19-EJP362 ARXIV: https://arxiv.org/abs/1808.00354

Nicolas Perkowski and Tommaso Cornelis Rosati: A rough super-Brownian motion

ARXIV: https://arxiv.org/abs/1905.05825

Bogdan Raiţă and Daniel Spector: A note on estimates for elliptic systems with \(L^1\) data

In: Comptes rendus mathematique, 357 (2019) 11/12, p. 851-857

DOI: 10.1016/j.crma.2019.11.007 ARXIV: https://arxiv.org/abs/1906.01556

Claudia Raithel: Some large-scale regularity results for linear elliptic equations with random coefficients and on the well-posedness of singular quasilinear SPDEs

Dissertation, Universität Leipzig, 2019

LINK: https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-343648

Angkana Rüland: Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms

In: Revista Matemática Iberoamericana, 35 (2019) 7, p. 1997-2024

DOI: 10.4171/RMI/1107 ARXIV: https://arxiv.org/abs/1708.04285

Angkana Rüland and Eva Sincich: Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data

In: Inverse problems and imaging, 13 (2019) 5, p. 1023-1044

DOI: 10.3934/ipi.2019046 ARXIV: https://arxiv.org/abs/1805.00866

Angkana Rüland ; Jamie M. Taylor and Christian Zillinger: Convex integration arising in the modelling of shape-memory alloys : some remarks on rigidity, flexibility and some numerical implementations

In: Journal of nonlinear science, 29 (2019) 5, p. 2137-2184

DOI: 10.1007/s00332-019-09540-9 ARXIV: https://arxiv.org/abs/1801.08503

Angkana Rüland and Jenn-Nan Wang: On the fractional Landis conjecture

In: Journal of functional analysis, 277 (2019) 9, p. 3236-3270

DOI: 10.1016/j.jfa.2019.05.026 ARXIV: https://arxiv.org/abs/1809.04480

Arnd Scheel ; Angela Stevens and Christoph Tenbrock: Signaling gradients in surface dynamics as basis for planarian regeneration

MIS-Preprint: 67/2019 ARXIV: https://arxiv.org/abs/1908.04253

Luca Spolaor: Almgren's type regularity for semicalibrated currents

In: Advances in mathematics, 350 (2019), p. 747-815

MIS-Preprint: 2/2016 DOI: 10.1016/j.aim.2019.04.057 ARXIV: http://arxiv.org/abs/1511.07705

Stefano Steffenoni: Active Brownian dynamics

Dissertation, Univeristät Leipzig, 2019

LINK: https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-343694

Li Wang ; Qiang Xu and Peihao Zhao: Convergence rates on periodic homogenization of p-Laplace type equations

In: Nonlinear analysis : Real world applications, 49 (2019), p. 418-459

DOI: 10.1016/j.nonrwa.2019.04.011 ARXIV: https://arxiv.org/abs/1812.04837

Christian Zillinger: On the forced Euler and Navier-Stokes equations : linear damping and modified scattering

In: Journal of mathematical fluid mechanics, 21 (2019) 4, 49

DOI: 10.1007/s00021-019-0452-3 ARXIV: https://arxiv.org/abs/1809.01729

Diego A. Ayala ; Charles R. Doering and Thilo Martin Simon: Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations

In: Journal of fluid mechanics, 837 (2018), p. 839-857

DOI: 10.1017/jfm.2017.874 ARXIV: https://arxiv.org/abs/1704.00087

Peter Bella ; Benjamin J. Fehrman and Felix Otto: A Liouville theorem for elliptic systems with degenerate ergodic coefficients

In: The annals of applied probability, 28 (2018) 3, p. 1379-1422

MIS-Preprint: 47/2016 DOI: 10.1214/17-AAP1332 ARXIV: https://arxiv.org/abs/1605.00687

Peter Bella and Arianna Giunti: Green's function for elliptic systems : moment bounds

In: Networks and heterogeneous media, 13 (2018) 1, p. 155-176

MIS-Preprint: 85/2015 DOI: 10.3934/nhm.2018007 ARXIV: http://arxiv.org/abs/1512.01029

Peter Benner ; Venera Khoromskaia and Boris N. Khoromskij: Range-separated tensor format for many-particle modeling

In: SIAM journal on scientific computing, 40 (2018) 2, p. A1034-A1062

DOI: 10.1137/16M1098930 LINK: http://hdl.handle.net/11858/00-001M-0000-002E-5E04-0

Marcello Carioni: A convex decomposition formula for the Mumford-Shah functional in dimension one

In: Journal of convex analysis, 25 (2018) 4, p. 1197-1221

ARXIV: https://arxiv.org/abs/1610.01846 LINK: http://www.heldermann.de/JCA/JCA25/JCA254/jca25075.htm

Marcello Carioni ; Julian Fischer and Anja Schlömerkemper: External forces in the continuum limit of discrete systems with non-convex interaction potentials : compactness for a \(\Gamma\)-development

ARXIV: https://arxiv.org/abs/1811.09857

Sergio Conti ; Michael Goldman ; Felix Otto and Sylvia Serfaty: A branched transport limit of the Ginzburg-Landau functional

In: Journal de l'Ecole polytechnique : mathématiques, 5 (2018), p. 317-375

DOI: 10.5802/jep.72 ARXIV: https://arxiv.org/abs/1704.02764

Andres Contreras ; Xavier Lamy and Rémy Rodiac: On the convergence of minimizers of singular perturbation functionals

In: Indiana University mathematics journal, 67 (2018) 4, p. 1665-1682

DOI: 10.1512/iumj.2018.67.7391 ARXIV: https://arxiv.org/abs/1607.07282 LINK: https://hal.archives-ouvertes.fr/hal-01591323

Sara Daneri and Eris Runa: Pattern formation for a family of models with local/nonlocal interactions

In: Proceedings in applied mathematics and mechanics, 18 (2018) 1, e201800352

DOI: 10.1002/pamm.201800352

Camillo De Lellis ; Emanuele Spadaro and Luca Spolaor: Regularity theory for \(2\)-dimensional almost minimal currents I : Lipschitz approximation

In: Transactions of the American Mathematical Society, 370 (2018) 3, p. 1783-1801

MIS-Preprint: 59/2015 DOI: 10.1090/tran/6995 ARXIV: http://arxiv.org/abs/1508.05507

Matias G. Delgadino and Scott A. Smith: Hölder estimates for fractional parabolic equations with critical divergence free drifts

In: Annales de l'Institut Henri Poincaré / C, 35 (2018) 3, p. 577-604

DOI: 10.1016/j.anihpc.2017.06.004 ARXIV: https://arxiv.org/abs/1609.02691

Deniz Dizdar ; Georg Menz ; Felix Otto and Tianqi Wu: Toward a quantitative theory of the hydrodynamic limit

ARXIV: https://arxiv.org/abs/1807.09857

Deniz Dizdar ; Georg Menz ; Felix Otto and Tianqi Wu: The quantitative hydrodynamic limit of the Kawasaki dynamics

ARXIV: https://arxiv.org/abs/1807.09850

Sergey Dolgov ; Vladimir A. Kazeev and Boris N. Khoromskij: Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients

In: Mathematics and computers in simulation : transactions of IMACS, 145 (2018), p. 136-155

MIS-Preprint: 51/2012 DOI: 10.1016/j.matcom.2017.10.009

Matt Elsey and Selim Esedoglu: Threshold dynamics for anisotropic surface energies

In: Mathematics of computation, 87 (2018) 312, p. 1721-1756

DOI: 10.1090/mcom/3268 LINK: https://www.semanticscholar.org/paper/Threshold-dynamics-for-anisotropic-surface-energies-Elsey-Esedolu/9dc6224fde2e884963b618bbe9cfd57a20b9e0e1

Clemens Förster: Piecewise constant subsolutions for the incompressible Euler and IPM equations

Dissertation, Universität Leipzig, 2018

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa2-171022

Benjamin Gess: Regularization and well-posedness by noise for ordinary and partial differential equations

In: Stochastic partial differential equations and related fields : in honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / Andreas Eberle... (eds.)

Cham : Springer, 2018. - P. 43-67

(Springer proceedings in mathematics and statistics ; 229)

DOI: 10.1007/978-3-319-74929-7_3 LINK: http://www.bgess.de/wp-content/uploads/Gess-Regularization-and-well-posedness-by-noise-for-ODE-and-PDE.pdf

Benjamin Gess and Martina Hofmanová: Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

In: The annals of probability, 46 (2018) 5, p. 2495-2544

DOI: 10.1214/17-AOP1231 ARXIV: https://arxiv.org/abs/1611.03600

Benjamin Gess and Mario Maurelli: Well-posedness by noise for scalar conservation laws

In: Communications in partial differential equations, 43 (2018) 12, p. 1702-1736

DOI: 10.1080/03605302.2018.1535604 ARXIV: https://arxiv.org/abs/1701.05393

Yoshikazu Giga ; Jonas Sauer and Katharina Schade: Strong stability of 2D viscoelastic Poiseuille-type flows

In: Advances in mathematical sciences and applications, 27 (2018) 1, p. 143-167

LINK: http://hdl.handle.net/2115/69850

Arianna Giunti and Jean-Christophe Mourrat: Quantitative homogenization of degenerate random environments

In: Annales de l'Institut Henri Poincaré / B, 54 (2018) 1, p. 22-50

MIS-Preprint: 25/2016 DOI: 10.1214/16-AIHP793 ARXIV: http://arxiv.org/abs/1602.04467

Manuel V. Gnann and Mircea Petrache: The Navier-slip thin-film equation for 3D fluid films : existence and uniqueness

In: Journal of differential equations, 265 (2018) 11, p. 5832-5958

DOI: 10.1016/j.jde.2018.07.015 ARXIV: https://arxiv.org/abs/1710.09903

Michael Goldman ; Martin Huesmann and Felix Otto: A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem

ARXIV: https://arxiv.org/abs/1808.09250

Pavel Gurevich and Sergey Tikhomirov: Spatially discrete reaction-diffusion equations with discontinuous hysteresis

In: Annales de l'Institut Henri Poincaré / C, 35 (2018) 4, p. 1041-1077

MIS-Preprint: 25/2015 DOI: 10.1016/j.anihpc.2017.09.006 ARXIV: http://arxiv.org/abs/1504.02385

Venera Khoromskaia and Boris N. Khoromskij: Tensor numerical methods in quantum chemistry

Berlin : De Gruyter, 2018. - VIII, 289 p.

ISBN 978-3-11-037015-7 ISBN 978-3-11-036583-2

DOI: 10.1515/9783110365832

Xavier Lamy and Felix Otto: On the regularity of weak solutions to Burgers' equation with finite entropy production

In: Calculus of variations and partial differential equations, 57 (2018) 4, 94

DOI: 10.1007/s00526-018-1380-4 ARXIV: https://arxiv.org/abs/1704.07633

Tim Bastian Laux and Thilo Martin Simon: Convergence of the Allen-Cahn equation to multiphase mean curvature flow

In: Communications on pure and applied mathematics, 71 (2018) 8, p. 1597-1647

MIS-Preprint: 37/2016 DOI: 10.1002/cpa.21747 ARXIV: http://arxiv.org/abs/1606.07318

Ulrich Menne: Pointwise differentiability of higher order for distributions

ARXIV: https://arxiv.org/abs/1803.10855

Ulrich Menne and Christian Scharrer: An isoperimetric inequality for diffused surfaces

In: Kodai mathematical journal, 41 (2018) 1, p. 70-85

DOI: 10.2996/kmj/1521424824 ARXIV: https://arxiv.org/abs/1612.03823

Stefano Modena: Lagrangian representation for systems of conservation laws : an overview

In: Theory, numerics and applications of hyperbolic problems II : Aachen, Germany, August 2016 / Christian Klingenberg... (eds.)

Cham : Springer, 2018. - P. 335-347

(Springer proceedings in mathematics and statistics ; 237)

DOI: 10.1007/978-3-319-91548-7_26

Felix Otto ; Michael Goldman and Martin Huesmann: A variational approach to regularity for the Monge-Ampère equation, and an application to the matching problem [In: Calculus of variations ; 29 July - 4 August 2018 ; report no. 35/2018]

In: Oberwolfach reports, 15 (2018) 3, p. 2121-2124

DOI: 10.4171/OWR/2018/35 LINK: https://publications.mfo.de/handle/mfo/3657

Felix Otto ; Jonas Sauer ; Scott A. Smith and Hendrik Weber: Parabolic equations with rough coefficients and singular forcing

ARXIV: https://arxiv.org/abs/1803.07884

Samuel Punshon-Smith and Scott A. Smith: On the Boltzmann equation with stochastic kinetic transport : global existence of renormalized Martingale solutions

In: Archive for rational mechanics and analysis, 229 (2018) 2, p. 627-708

DOI: 10.1007/s00205-018-1225-5 ARXIV: https://arxiv.org/abs/1606.07451

Eris Runa and Sara Daneri: On the pattern formation for a family of functionals with short-range/long-range interactions in competition [In: Emergence of structures in particle systems : mechanics, analysis and computation ; 28 October - 3 November 2018 ; report no. 49/2018]

In: Oberwolfach reports, 15 (2018) 4, p. 2953-2954

DOI: 10.4171/OWR/2018/49 LINK: https://publications.mfo.de/handle/mfo/3671

Angkana Rüland: Unique continuation for sublinear elliptic equations based on Carleman estimates

In: Journal of differential equations, 265 (2018) 11, p. 6009-6035

DOI: 10.1016/j.jde.2018.07.025 ARXIV: https://arxiv.org/abs/1801.05563

Angkana Rüland ; Herbert Koch and Wenhui Shi: Regularity and higher regularity for the thin obstacle problem with Hölder continuous coefficients [In: Calculus of variations ; 29 July - 4 August 2018 ; report no. 35/2018]

In: Oberwolfach reports, 15 (2018) 3, p. 2127-2130

DOI: 10.4171/OWR/2018/35 LINK: https://publications.mfo.de/handle/mfo/3657

Angkana Rüland and Mikko Salo: Exponential instability in the fractional Calderón problem

In: Inverse problems, 34 (2018) 4, 045003

DOI: 10.1088/1361-6420/aaac5a ARXIV: https://arxiv.org/abs/1711.04799

Angkana Rüland ; Jamie M. Taylor ; Christian Zillinger and Barbara Zwicknagl: Microstructures in shape-memory alloys : rigidity, flexibility and some numerical experiments [In: Variational methods for the modelling of inelastic solids ; 4 February - 10 February 2018 ; report no. 5/2018]

In: Oberwolfach reports, 15 (2018) 1, p. 273-275

DOI: 10.4171/OWR/2018/5 LINK: https://publications.mfo.de/handle/mfo/3627

Angkana Rüland ; Christian Zillinger and Barbara Zwicknagl: Higher Sobolev regularity of convex integration solutions in elasticity : the Dirichlet problem with affine data in \(\text{int}(K^{lc})\)

In: SIAM journal on mathematical analysis, 50 (2018) 4, p. 3791-3841

DOI: 10.1137/17M1149687 ARXIV: https://arxiv.org/abs/1709.02880

Artem Sapozhnikov and Daisuke Shiraishi: On Brownian motion, simple paths, and loops

In: Probability theory and related fields, 172 (2018) 3-4, p. 615-662

DOI: 10.1007/s00440-017-0817-6 ARXIV: https://arxiv.org/abs/1512.04864

Jonas Sauer: Instationary generalized Stokes equations in partially periodic domains

In: Journal of mathematical fluid mechanics, 20 (2018) 2, p. 289-327

DOI: 10.1007/s00021-017-0321-x

Sebastian Scholtes and Maria G. Westdickenberg: Metastability of the Cahn-Hilliard equation in one space dimension

In: Journal of differential equations, 265 (2018) 4, p. 1528-1575

DOI: 10.1016/j.jde.2018.04.012 ARXIV: https://arxiv.org/abs/1705.10985

Thilo Martin Simon: Materials science-inspired problems in the calculus of variations : rigidity of shape memory alloys and multi-phase mean curvature flow

Dissertation, Universität Leipzig, 2018

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa2-318464

Thilo Martin Simon: Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures

ARXIV: https://arxiv.org/abs/1801.01338

Scott A. Smith and Konstantina Trivisa: The stochastic Navier-Stokes equations for heat-conducting, compressible fluids : global existence of weak solutions

In: Journal of evolution equations, 18 (2018) 2, p. 411-465

DOI: 10.1007/s00028-017-0407-1

John M. Ball ; Eduard Feireisl and Felix Otto: Preface to CIME lecture notes

In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015 / John M. Ball

Cham : Springer, 2017

(Lecture notes in mathematics ; 2200)

DOI: 10.1007/978-3-319-67600-5

John M. Ball ; Eduard Feireisl and Felix Otto: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015

Cham : Springer, 2017. - IX, 145 p.

(Lecture notes in mathematics ; 2200)

ISBN 978-3-319-67600-5 ISBN 978-3-319-67599-2

DOI: 10.1007/978-3-319-67600-5

Deepan Basu and Artem Sapozhnikov: Crossing probabilities for critical Bernoulli percolation on slabs

In: Annales de l'Institut Henri Poincaré / B, 53 (2017) 4, p. 1921-1933

DOI: 10.1214/16-AIHP776 ARXIV: http://arxiv.org/abs/1512.05178

Deepan Basu and Artem Sapozhnikov: Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities

In: Electronic communications in probability, 22 (2017), 26

DOI: 10.1214/17-ECP56 ARXIV: https://arxiv.org/abs/1603.06884

Sebastian Becker ; Benjamin Gess ; Arnulf Jentzen and Peter E. Kloeden: Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations

ARXIV: https://arxiv.org/abs/1711.02423

Peter Bella ; Benjamin J. Fehrman ; Julian Fischer and Felix Otto: Stochastic homogenization of linear elliptic equations : higher-order error estimates in weak norms via second-order correctors

In: SIAM journal on mathematical analysis, 49 (2017) 6, p. 4658-4703

DOI: 10.1137/16M110229X ARXIV: https://arxiv.org/abs/1609.01528

Peter Bella ; Arianna Giunti and Felix Otto: Quantitative stochastic homogenization : local control of homogenization error through corrector

In: Mathematics and materials / Mark J. Bowick... (eds.)

Providence, RI : American mathematical society, 2017. - P. 301-327

(IAS/Park City mathematics series ; 23)

DOI: 10.1090/pcms/023/07 ARXIV: http://arxiv.org/abs/1504.02487

Peter Bella ; Arianna Giunti and Felix Otto: Liouville properties and error estimates for elliptic equations in exterior domains

Peter Bella and Robert V. Kohn: Coarsening of folds in hanging drapes

In: Communications on pure and applied mathematics, 70 (2017) 5, p. 978-1021

MIS-Preprint: 78/2015 DOI: 10.1002/cpa.21643 ARXIV: http://arxiv.org/abs/1507.08034

Peter Bella and Robert V. Kohn: Wrinkling of a thin circular sheet bonded to a spherical substrate

In: Philosophical transactions of the Royal Society / A, 375 (2017) 2093, 20160157

MIS-Preprint: 29/2017 DOI: 10.1098/rsta.2016.0157 ARXIV: https://arxiv.org/abs/1611.01781

Jonathan Ben-Artzi ; Daniel Marahrens and Stefan Neukamm: Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations

In: Communications in partial differential equations, 42 (2017) 2, p. 179-234

MIS-Preprint: 71/2014 DOI: 10.1080/03605302.2017.1281298 ARXIV: http://arxiv.org/abs/1407.6984

Peter Benner ; Sergey Dolgov ; Venera Khoromskaia and Boris N. Khoromskij: Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation

In: Journal of computational physics, 334 (2017), p. 221-239

MIS-Preprint: 14/2016 DOI: 10.1016/j.jcp.2016.12.047 ARXIV: http://arxiv.org/abs/1602.02646

Pierre Bochard and Paul Pegon: Kinetic selection principle for curl-free vector fields of unit norm

In: Communications in partial differential equations, 42 (2017) 9, p. 1375-1402

DOI: 10.1080/03605302.2017.1358276 ARXIV: https://arxiv.org/abs/1701.02931

Laurent Bétermin and Mircea Petrache: Dimension reduction techniques for the minimization of theta functions on lattices

In: Journal of mathematical physics, 58 (2017) 7, 071902

DOI: 10.1063/1.4995401 ARXIV: https://arxiv.org/abs/1607.08716

Marcello Carioni: Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms

Dissertation, Universität Leipzig, 2017

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa2-165756

Yinshan Chang: Two observations on the capacity of the range of simple random walks on \(\mathbb{Z}^3\) and \(\mathbb{Z}^4\)

In: Electronic communications in probability, 22 (2017), 25

DOI: 10.1214/17-ECP55 ARXIV: https://arxiv.org/abs/1611.08654

Alexey Cheskidov ; Daniel Marahrens and Christof Sparber: Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates

In: Dynamics of partial differential equations, 14 (2017) 1, p. 5-32

DOI: 10.4310/DPDE.2017.v14.n1.a2 ARXIV: https://arxiv.org/abs/1506.04706

Alberto Chiarini ; Alessandra Cipriani and Giovanni Conforti: Approximating conditional distributions

ARXIV: https://arxiv.org/abs/1710.08856

Joseph G. Conlon ; Arianna Giunti and Felix Otto: Green's function for elliptic systems : existence and Delmotte-Deuschel bounds

In: Calculus of variations and partial differential equations, 56 (2017) 6, 163

MIS-Preprint: 34/2016 DOI: 10.1007/s00526-017-1255-0 ARXIV: http://arxiv.org/abs/1602.05625

Sergio Conti ; Antonio DeSimone ; Stephan Luckhaus and Lev Truskinovsky: Material theories : 16 July - 22 July 2017 ; report no. 33/2017

In: Oberwolfach reports, 14 (2017) 3, p. 2047-2099

DOI: 10.4171/OWR/2017/33 LINK: https://publications.mfo.de/handle/mfo/3597

Camillo De Lellis ; Emanuele Spadaro and Luca Spolaor: Regularity theory for 2-dimensional almost minimal currents II : branched center manifold

In: Annals of PDE, 3 (2017) 2, 18

MIS-Preprint: 60/2015 DOI: 10.1007/s40818-017-0035-7 ARXIV: http://arxiv.org/abs/1508.05509

Camillo De Lellis ; Emanuele Spadaro and Luca Spolaor: Uniqueness of tangent cones for two-dimensional almost-minimizing currents

In: Communications on pure and applied mathematics, 70 (2017) 7, p. 1402-1421

MIS-Preprint: 58/2015 DOI: 10.1002/cpa.21690 ARXIV: https://arxiv.org/abs/1508.05266

Joscha Diehl ; Massimiliano Gubinelli and Nicolas Perkowski: The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions

In: Communications in mathematical physics, 354 (2017) 2, p. 549-589

DOI: 10.1007/s00220-017-2918-6 ARXIV: https://arxiv.org/abs/1606.02331

Joscha Diehl and Jianfeng Zhang: Backward stochastic differential equations with Young drift

In: Probability, uncertainty and quantitative risk, 2 (2017), 5

DOI: 10.1186/s41546-017-0016-5 ARXIV: https://arxiv.org/abs/1610.03719

Benjamin J. Fehrman: On the existence of an invariant measure for isotropic diffusions in random environment

In: Probability theory and related fields, 168 (2017) 1-2, p. 409-453

DOI: 10.1007/s00440-016-0714-4 ARXIV: https://arxiv.org/abs/1404.5274

Benjamin J. Fehrman: Exit laws of isotropic diffusions in random environment from large domains

In: Electronic journal of probability, 22 (2017), 63

MIS-Preprint: 45/2016 DOI: 10.1214/17-EJP79 ARXIV: http://arxiv.org/abs/1601.06317

Julian Fischer and Felix Otto: Sublinear growth of the corrector in stochastic homogenization : optimal stochastic estimates for slowly decaying correlations

In: Stochastics and partial differential equations : analysis and computations, 5 (2017) 2, p. 220-255

DOI: 10.1007/s40072-016-0086-x ARXIV: http://arxiv.org/abs/1508.00025

Julian Fischer and Claudia Raithel: Liouville principles and a large-scale regularity theory for random elliptic operators on the half-space

In: SIAM journal on mathematical analysis, 49 (2017) 1, p. 82-114

DOI: 10.1137/16M1070384 ARXIV: https://arxiv.org/abs/1604.02717

Todd Fisher ; Taylor Petty and Sergey Tikhomirov: Nonlocally maximal and premaximal hyperbolic sets

In: Modern theory of dynamical systems : a tribute to Dmitry Victorovich Anosov / Anatole Katok... (eds.)

Providence, Rhode Island : American Mathematical Society, 2017. - P. 83-99

(Contemporary mathematics ; 692)

DOI: 10.1090/conm/692/13914 ARXIV: https://arxiv.org/abs/1510.05933

Franco Flandoli ; Benjamin Gess and Michael Scheutzow: Synchronization by noise

In: Probability theory and related fields, 168 (2017) 3/4, p. 511-556

DOI: 10.1007/s00440-016-0716-2 ARXIV: http://arxiv.org/abs/1411.1340

Franco Flandoli ; Benjamin Gess and Michael Scheutzow: Synchronization by noise for order-preserving random dynamical systems

In: The annals of probability, 45 (2017) 2, p. 1325-1350

DOI: 10.1214/16-AOP1088 ARXIV: http://arxiv.org/abs/1503.08737

Matteo Focardi ; Francesco Geraci and Emanuele Spadaro: The classical obstacle problem for nonlinear variational energies

In: Nonlinear analysis / A, 154 (2017), p. 71-87

DOI: 10.1016/j.na.2016.10.020 ARXIV: https://arxiv.org/abs/1610.09827

Benjamin Gess and Michael Röckner: Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations

In: Transactions of the American Mathematical Society, 369 (2017) 5, p. 3017-3045

DOI: 10.1090/tran/6981 ARXIV: http://arxiv.org/abs/1405.5866

Benjamin Gess and Panagiotis E. Souganidis: Stochastic non-isotropic degenerate parabolic-hyperbolic equations

In: Stochastic processes and their applications, 127 (2017) 9, p. 2961-3004

DOI: 10.1016/j.spa.2017.01.005 ARXIV: https://arxiv.org/abs/1611.01303

Francesco Ghiraldin and Luca Spolaor: On the number of singular points for planar multivalued harmonic functions

In: Manuscripta mathematica, 154 (2017) 3/4, p. 513-525

MIS-Preprint: 3/2016 DOI: 10.1007/s00229-017-0920-0 ARXIV: http://arxiv.org/abs/1601.01967

Arianna Giunti: Green's function estimates for elliptic and parabolic operators : applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems

Dissertation, Universität Leipzig, 2017

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225533

Antoine Gloria and Felix Otto: Quantitative results on the corrector equation in stochastic homogenization

In: Journal of the European Mathematical Society, 19 (2017) 11, p. 3489-3548

DOI: 10.4171/JEMS/745 ARXIV: http://arxiv.org/abs/1409.0801

Stefan Grosskinsky ; Daniel Marahrens and Angela Stevens: A hydrodynamic limit for chemotaxis in a given heterogeneous environment

In: Vietnam journal of mathematics, 45 (2017) 1-2, p. 127-152

MIS-Preprint: 46/2015 DOI: 10.1007/s10013-016-0209-8 ARXIV: http://arxiv.org/abs/1508.03569

Pavel Gurevich and Sergey Tikhomirov: Rattling in spatially discrete diffusion equations with hysteresis

In: Multiscale modeling and simulation, 15 (2017) 3, p. 1176-1197

MIS-Preprint: 10/2016 DOI: 10.1137/16M106039X ARXIV: http://arxiv.org/abs/1601.05728

Martina Hofmanová ; Matthias Röger and Max von Renesse: Weak solutions for a stochastic mean curvature flow of two-dimensional graphs

In: Probability theory and related fields, 168 (2017) 1/2, p. 373-408

DOI: 10.1007/s00440-016-0713-5 ARXIV: http://arxiv.org/abs/1412.5863

Emanuel Indrei ; Andreas Minne and Levon Nurbekyan: Regularity of solutions in semilinear elliptic theory

In: Bulletin of mathematical sciences, 7 (2017) 1, p. 177-200

DOI: 10.1007/s13373-016-0088-z ARXIV: https://arxiv.org/abs/1601.05219

Venera Khoromskaia and Boris N. Khoromskij: Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices : tensor approach

In: Computational methods in applied mathematics, 17 (2017) 3, p. 431-455

MIS-Preprint: 12/2017 DOI: 10.1515/cmam-2017-0004 ARXIV: http://arxiv.org/abs/1702.00339

Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto: A numerical primer in 2D stochastic homogenization : CLT scaling in the representative volume element

MIS-Preprint: 47/2017

Boris N. Khoromskij and Sergey Repin: Rank structured approximation method for quasi-periodic elliptic problems

In: Computational methods in applied mathematics, 17 (2017) 3, p. 457-477

MIS-Preprint: 10/2017 DOI: 10.1515/cmam-2017-0014 ARXIV: https://arxiv.org/abs/1701.00039

Georgy Kitavtsev ; Stephan Luckhaus and Angkana Rüland: Surface energies emerging in a microscopic, two-dimensional two-well problem

In: Proceedings of the Royal Society of Edinburgh / A, 147 (2017) 5, p. 1041-1089

DOI: 10.1017/S0308210516000433 ARXIV: http://arxiv.org/abs/1509.08220

Vitalii Konarovskyi: A system of coalescing heavy diffusion particles on the real line

In: The annals of probability, 45 (2017) 5, p. 3293-3335

DOI: 10.1214/16-AOP1137 ARXIV: http://arxiv.org/abs/1408.0628

Gianluca Lauteri: The emergence of Cosserat-type structures in metal plasticity

Dissertation, Universität Leipzig, 2017

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225513

Gianluca Lauteri and Stephan Luckhaus: Geometric rigidity estimates for incompatible fields in dimension \(\ge\) 3

ARXIV: https://arxiv.org/abs/1703.03288

Tim Bastian Laux: Convergence of phase-field models and thresholding schemes via the gradient flow structure of multi-phase mean-curvature flow

Dissertation, Universität Leipzig, 2017

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa2-158723

Tim Bastian Laux and Felix Otto: Kornwachstum in Polykristallen: Algorithmen für den mittleren Krümmungsfluss

In: Jahrbuch der Max-Planck-Gesellschaft, 2017 (2017), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

LINK: https://www.mpg.de/10893983/mpi_mis_jb_2017?c=11356432

Tim Bastian Laux and Drew Swartz: Convergence of thresholding schemes incorporating bulk effects

In: Interfaces and free boundaries, 19 (2017) 2, p. 273-304

DOI: 10.4171/IFB/383 ARXIV: http://arxiv.org/abs/1601.02467

Ulrich Menne: The concept of varifold

In: Notices of the American Mathematical Society, 64 (2017) 10, p. 1148-1152

DOI: 10.1090/noti1589 ARXIV: https://arxiv.org/abs/1705.05253

Stefano Modena: A 'forward-in-time' quadratic potential for systems of conservation laws

In: Nonlinear differential equations and applications, 24 (2017) 5, 53

DOI: 10.1007/s00030-017-0476-4 ARXIV: https://arxiv.org/abs/1701.02121

Andrea Mondino and Emanuele Spadaro: On an isoperimetric-isodiametric inequality

In: Analysis and PDE, 10 (2017) 1, p. 95-126

MIS-Preprint: 29/2016 DOI: 10.2140/apde.2017.10.95 ARXIV: http://arxiv.org/abs/1603.05263

Kishore Kumar Naraparaju and Jan Schneider: Literature survey on low rank approximation of matrices

In: Linear and multilinear algebra, 65 (2017) 11, p. 2212-2244

DOI: 10.1080/03081087.2016.1267104 ARXIV: https://arxiv.org/abs/1606.06511

Stefan Neukamm ; Mathias Schäffner and Anja Schlömerkemper: Stochastic homogenization of nonconvex discrete energies with degenerate growth

In: SIAM journal on mathematical analysis, 49 (2017) 3, p. 1761-1809

DOI: 10.1137/16M1097705 ARXIV: https://arxiv.org/abs/1606.06533

Camilla Nobili and Felix Otto: Limitations of the background field method applied to Rayleigh-Bénard convection

In: Journal of mathematical physics, 58 (2017) 9, 093102

MIS-Preprint: 57/2016 DOI: 10.1063/1.5002559 ARXIV: http://arxiv.org/abs/1605.08135

Heiner Olbermann and Eris Runa: Interpenetration of matter in plate theories obtained as \(\Gamma\)-limits

In: Control, optimisation and calculus of variations (ESAIM-COCV), 23 (2017) 1, p. 119-136

DOI: 10.1051/cocv/2015042 ARXIV: http://arxiv.org/abs/1310.2865

Felix Otto ; Peter Bella and Arianna Giunti: Effective multipole expansion in random media [In: Material theories ; 16 July - 22 July 2017 ; report no. 33/2017]

In: Oberwolfach reports, 14 (2017) 3, p. 2068-2071

DOI: 10.4171/OWR/2017/33 LINK: https://publications.mfo.de/handle/mfo/3597

Felix Otto and Michael Goldman: Regularity for Monge-Ampère by Benamou-Brenier [In: Applications of optimal transportation in the natural sciences ; 29 January - 4 February 2017 ; report no. 7/2017]

In: Oberwolfach reports, 14 (2017) 1, p. 345-347

DOI: 10.4171/OWR/2017/7 LINK: https://publications.mfo.de/handle/mfo/3571

Felix Otto and Tim Bastian Laux: Brakke - de Giorgi - Osher [In: Variational methods for evolution ; 12 November - 18 November 2017 ; report no. 54/2017]

In: Oberwolfach reports, 14 (2017) 4, p. 3219-3222

DOI: 10.4171/OWR/2017/54 LINK: https://publications.mfo.de/handle/mfo/3618

Felix Otto ; Steffen Pottel and Camilla Nobili: Rigorous bounds on scaling laws in fluid dynamics

In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015 / John M. Ball

Cham : Springer, 2017. - P. 101-145

(Lecture notes in mathematics ; 2200)

DOI: 10.1007/978-3-319-67600-5_3

Mircea Petrache and Jean Van Schaftinger: Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds

In: International mathematics research notices, 2017 (2017) 12, p. 3647-3683

DOI: 10.1093/imrn/rnw109 ARXIV: https://arxiv.org/abs/1508.07813

Claudia Raithel: A large-scale regularity theory for random elliptic operators on the half-space with homogeneous Neumann boundary data

ARXIV: https://arxiv.org/abs/1703.04328

Artem Sapozhnikov: Random walks on infinite percolation clusters in models with long-range correlations

In: The annals of probability, 45 (2017) 3, p. 1842-1898

DOI: 10.1214/16-AOP1103 ARXIV: http://arxiv.org/abs/1410.0605

Arnd Scheel and Angela Stevens: Wavenumber selection in coupled transport equations

In: Journal of mathematical biology, 75 (2017) 5, p. 1047-1073

MIS-Preprint: 62/2016 DOI: 10.1007/s00285-017-1107-8 ARXIV: http://arxiv.org/abs/1609.05741

Stefano Steffenoni ; Gianmaria Falasco and Klaus Kroy: Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions

In: Physical review / E, 95 (2017) 5, 052142

DOI: 10.1103/PhysRevE.95.052142 ARXIV: https://arxiv.org/abs/1612.08404

Igor Velčić: On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity

In: Analysis and applications, 15 (2017) 1, p. 1-49

MIS-Preprint: 61/2013 DOI: 10.1142/S0219530515500244 ARXIV: http://arxiv.org/abs/1306.0287

Marcus Wagner ; Patrick Scheibe ; Mike Francke ; Beatrice Zimmerling ; Katharina Frey ; Mandy Vogel ; Stephan Luckhaus ; Peter Wiedemann ; Wieland Kiess and Franziska G. Rauscher: Automated detection of the choroid boundary within OCT image data using quadratic measure filters

In: Journal of biomedical optics, 22 (2017) 2, 025004

DOI: 10.1117/1.JBO.22.2.025004

Stan Alama ; Lia Bronsard and Xavier Lamy: Minimizers of the Landau-de Gennes energy around a spherical colloid particle

In: Archive for rational mechanics and analysis, 222 (2016) 1, p. 427-450

DOI: 10.1007/s00205-016-1005-z ARXIV: https://arxiv.org/abs/1504.00421

Stan Alama ; Lia Bronsard and Xavier Lamy: Analytical description of the Saturn-ring defect in nematic colloids

In: Physical review / E, 93 (2016) 1, 012705

DOI: 10.1103/PhysRevE.93.012705

Peter Bella ; Eduard Feireisl ; Marta Lewicka and Antonín Novotný: A rigorous justification of the Euler and Navier-Stokes equations with geometric effects

In: SIAM journal on mathematical analysis, 48 (2016) 6, p. 3907-3930

MIS-Preprint: 79/2015 DOI: 10.1137/15M1048963 ARXIV: http://arxiv.org/abs/1511.06136

Peter Bella and Felix Otto: Corrector estimates for elliptic systems with random periodic coefficients

In: Multiscale modeling and simulation, 14 (2016) 4, p. 1434-1462

MIS-Preprint: 100/2014 DOI: 10.1137/15M1037147 ARXIV: http://arxiv.org/abs/1409.5271

Peter Benner ; Venera Khoromskaia and Boris N. Khoromskij: A reduced basis approach for calculation of the Bethe-Salpeter excitation energies by using low-rank tensor factorizations

In: Molecular physics, 114 (2016) 7-8, p. 1148-1161

MIS-Preprint: 32/2015 DOI: 10.1080/00268976.2016.1149241 ARXIV: https://arxiv.org/abs/1505.02696

Peter Benner ; Venera Khoromskaia and Boris N. Khoromskij: Range-separated tensor formats for numerical modeling of many-particle interaction potentials

MIS-Preprint: 39/2016 ARXIV: http://arxiv.org/abs/1606.09218

Rajat Bhatnagar and Robert Finn: Comments relating to a paper by Vella and Mahadevan

Dominic Breit and Martina Hofmanová: Stochastic Navier-stokes equations for compressible fluids

In: Indiana University mathematics journal, 65 (2016) 4, p. 1183-1250

ARXIV: http://arxiv.org/abs/1409.2706 LINK: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=5832&year=2016&volume=65

Björn Bringmann ; Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto: Corrigendum to 'Smooth zero-contact-angle solutions to a thin-film equation around the steady state' (J. Differential equations 245 (2008) 1454-1506)

In: Journal of differential equations, 261 (2016) 2, p. 1622-1635

DOI: 10.1016/j.jde.2016.04.010

Fabian Brunner ; Julian Fischer and Peter Knabner: Analysis of a modified second-order mixed hybrid \(BDM_1\) finite element method for transport problems in divergence form

In: SIAM journal on numerical analysis, 54 (2016) 4, p. 2359-2378

DOI: 10.1137/15M1035379

Yinshan Chang: Supercritical loop percolation on \(\mathbb{Z}^d\) for \(d\geq 3\)

In: Stochastic processes and their applications, 127 (2016) 10, p. 3159-3186

DOI: 10.1016/j.spa.2017.02.003 ARXIV: http://arxiv.org/abs/1504.07906

Yinshan Chang and Yves Le Jan: Markov loops in discrete spaces

In: Probability and statistical physics in St. Petersburg / Vladas Sidoravicius... (eds.)

Providence : American Mathematical Society, 2016. - P. 215-271

(Proceedings of symposia in pure mathematics ; 91)

DOI: 10.1090/pspum/091 ARXIV: http://arxiv.org/abs/1402.1064

Yinshan Chang and Artem Sapozhnikov: Phase transition in loop percolation

In: Probability theory and related fields, 164 (2016) 3/4, p. 979-1025

DOI: 10.1007/s00440-015-0624-x ARXIV: http://arxiv.org/abs/1403.5687

Antoine Choffrut ; Camilla Nobili and Felix Otto: A maximal regularity estimate for the non-stationary Stokes equation in the strip

In: Journal of differential equations, 260 (2016) 7, p. 5589-5626

DOI: 10.1016/j.jde.2015.12.010 ARXIV: https://arxiv.org/abs/1703.09208

Antoine Choffrut ; Camilla Nobili and Felix Otto: Upper bounds on Nusselt number at finite Prandtl number

In: Journal of differential equations, 260 (2016) 4, p. 3860-3880

MIS-Preprint: 116/2014 DOI: 10.1016/j.jde.2015.10.051 ARXIV: http://arxiv.org/abs/1412.4812

Eleonora Cinti and Felix Otto: Interpolation inequalities in pattern formation

In: Journal of functional analysis, 271 (2016) 11, p. 3348-3392

MIS-Preprint: 56/2015 DOI: 10.1016/j.jfa.2016.05.007 ARXIV: http://arxiv.org/abs/1509.01189

Mark Curran ; Pavel Gurevich and Sergey Tikhomirov: Recent advances in reaction-diffusion equations with non-ideal relays

In: Control of self-organizing nonlinear systems / Eckehard Schöll... (eds.)

[Cham] : Springer International Publishing, 2016. - P. 211-234

(Understanding complex systems)

MIS-Preprint: 35/2015 DOI: 10.1007/978-3-319-28028-8_11 ARXIV: https://arxiv.org/abs/1508.02233

Camillo De Lellis and Emanuele Spadaro: Regularity of area minimizing currents II : center manifold

In: Annals of mathematics, 183 (2016) 2, p. 499-575

MIS-Preprint: 56/2013 DOI: 10.4007/annals.2016.183.2.2 ARXIV: http://arxiv.org/abs/1306.1191

Camillo De Lellis and Emanuele Spadaro: Regularity of area minimizing currents III : blow-up

In: Annals of mathematics, 183 (2016) 2, p. 577-617

MIS-Preprint: 57/2013 DOI: 10.4007/annals.2016.183.2.3 ARXIV: http://arxiv.org/abs/1306.1194

Arnaud Debussche ; Martina Hofmanová and Julien Vovelle: Degenerate parabolic stochastic partial differential equations : quasilinear case

In: The annals of probability, 44 (2016) 3, p. 1916-1955

MIS-Preprint: 92/2013 DOI: 10.1214/15-AOP1013 ARXIV: http://arxiv.org/abs/1309.5817

Lukas Döring ; Claudia Hengst ; Felix Otto and Rudolf Schäfer: Interacting tails of asymmetric domain walls : theory and experiments

In: Physical review / B, 93 (2016) 2, 024414

MIS-Preprint: 14/2015 DOI: 10.1103/PhysRevB.93.024414

Lukas Döring and Radu Ignat: Asymmetric domain walls of small angle in soft ferromagnetic films

In: Archive for rational mechanics and analysis, 220 (2016) 2, p. 889-936

MIS-Preprint: 1/2015 DOI: 10.1007/s00205-015-0944-0 ARXIV: http://arxiv.org/abs/1412.2382

Lukas Döring ; Radu Ignat and Felix Otto: Topology and hysteretic domain-wall transitions in ferromagnets [In: Mechanics of materials : mechanics of interfaces and evolving microstructure ; 13 March - 19 March ; report no. 17/2016]

In: Oberwolfach reports, 13 (2016) 1, p. 817-818

DOI: 10.4171/OWR/2016/17 LINK: https://publications.mfo.de/handle/mfo/3521

Elias Esselborn: Relaxation rates for a perturbation of a stationary solution to the thin-film equation

In: SIAM journal on mathematical analysis, 48 (2016) 1, p. 349-396

MIS-Preprint: 27/2015 DOI: 10.1137/15M1017697

Simon Etter ; Sergey Dolgov and Boris N. Khoromskij: Erratum: Two-level QTT-Tucker format for optimized tensor calculus [SIAM Journal on matrix analysis and applications, vol. 34, 2013]

In: SIAM journal on matrix analysis and applications, 37 (2016) 2, p. 818-822

DOI: 10.1137/15M104089X

Julian Fischer: Approximation of slightly compressible fluids by the incompressible Navier-Stokes equation and lineraized acoustics : a posteriori estimates

LINK: http://j-fischer.eu/publications.html

Julian Fischer and Felix Otto: A higher-order large-scale regularity theory for random elliptic operators

In: Communications in partial differential equations, 41 (2016) 7, p. 1108-1148

DOI: 10.1080/03605302.2016.1179318 ARXIV: http://arxiv.org/abs/1503.07578

Matteo Focardi and Emanuele Spadaro: An epiperimetric inequality for the thin obstacle problem

In: Advances in differential equations, 21 (2016) 1/2, p. 153-200

MIS-Preprint: 16/2015 ARXIV: https://arxiv.org/abs/1502.07168 LINK: http://projecteuclid.org/euclid.ade/1448323167

Shaobo Gan ; Ming Li and Sergey Tikhomirov: Oriented shadowing property and \(\Omega\)-stability for vector fields

In: Journal of dynamics and differential equations, 28 (2016) 1, p. 225-237

MIS-Preprint: 48/2014 DOI: 10.1007/s10884-014-9399-5 ARXIV: http://arxiv.org/abs/1404.3545

Benjamin Gess ; Benoît Perthame and Panagiotis E. Souganidis: Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes

In: SIAM journal on numerical analysis, 54 (2016) 4, p. 2187-2209

DOI: 10.1137/15M1053670 ARXIV: http://arxiv.org/abs/1512.06056

Benjamin Gess and Jonas M. Tölle: Stability of solutions to stochastic partial differential equations

In: Journal of differential equations, 260 (2016) 6, p. 4973-5025

DOI: 10.1016/j.jde.2015.11.039 ARXIV: http://arxiv.org/abs/1506.01230

Benjamin Gess and Jonas M. Tölle: Ergodicity and local limits for stochastic local and nonlocal \(p\)-Laplace equations

In: SIAM journal on mathematical analysis, 48 (2016) 6, p. 4094-4125

DOI: 10.1137/15M1049774 ARXIV: http://arxiv.org/abs/1507.04545

Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto: Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law

In: Nonlinearity, 29 (2016) 9, p. 2497-2536

MIS-Preprint: 45/2015 DOI: 10.1088/0951-7715/29/9/2497

Antoine Gloria and Daniel Marahrens: Annealed estimates on the Green functions and uncertainty quantification

In: Annales de l'Institut Henri Poincaré / C, 33 (2016) 5, p. 1153-1197

DOI: 10.1016/j.anihpc.2015.04.001 ARXIV: http://arxiv.org/abs/1409.0569

Kyungkeun Kang and Angela Stevens: Blowup and global solutions in a chemotaxis-growth system

In: SIAM journal on mathematical analysis, 135 (2016), p. 57-72

MIS-Preprint: 15/2015 DOI: 10.1016/j.na.2016.01.017

Venera Khoromskaia and Boris N. Khoromskij: Fast tensor method for summation of long-range potentials on 3D lattices with defects

In: Numerical linear algebra with applications, 23 (2016) 2, p. 249-271

MIS-Preprint: 65/2015 DOI: 10.1002/nla.2023

Olaf Klein ; Mihai Dimian ; Pavel Gurevich ; Dorothee Knees ; Dmitrii Rachinskii and Sergey Tikhomirov: MURPHYS-HSFS-2014 : 7th international workshop on MUlti-rate processes and HYSteresis (MURPHYS) and the 2nd international workshop on hysteresis and slow-fast systems (HSFS)

In: Journal of physics / Conference series, 727 (2016), 011001

DOI: 10.1088/1742-6596/727/1/011001

Hans Knüpfer ; Cyrill B. Muratov and Matteo Novaga: Low density phases in a uniformly charged liquid

In: Communications in mathematical physics, 345 (2016) 1, p. 141-183

DOI: 10.1007/s00220-016-2654-3 ARXIV: https://arxiv.org/abs/1504.05600

Gianluca Lauteri and Stephan Luckhaus: An energy estimate for dislocation configurations and the emergence of cosserat-type structures in metal plasticity

ARXIV: https://arxiv.org/abs/1608.06155

Tim Bastian Laux and Felix Otto: Convergence of the thresholding scheme for multi-phase mean-curvature flow

In: Calculus of variations and partial differential equations, 55 (2016) 5, 129

MIS-Preprint: 33/2015 DOI: 10.1007/s00526-016-1053-0 ARXIV: https://arxiv.org/abs/1602.05857

Phani Motamarri ; Vikram Gavini and Thomas Blesgen: Tucker-tensor algorithm for large-scale Kohn-Sham density functional theory calculations

In: Physical review / B, 93 (2016) 12, 125104

DOI: 10.1103/PhysRevB.93.125104

Jean-Christophe Mourrat and Felix Otto: Correlation structure of the corrector in stochastic homogenization

In: The annals of probability, 44 (2016) 5, p. 3207-3233

MIS-Preprint: 11/2015 DOI: 10.1214/15-AOP1045 ARXIV: http://arxiv.org/abs/1402.1924

Jean-Christophe Mourrat and Felix Otto: Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments

In: Journal of functional analysis, 270 (2016) 1, p. 201-228

DOI: 10.1016/j.jfa.2015.09.020 ARXIV: http://arxiv.org/abs/1503.08280

Luca Mugnai ; Christian Seis and Emanuele Spadaro: Global solutions to the volume-preserving mean-curvature flow

In: Calculus of variations and partial differential equations, 55 (2016) 1, 18

MIS-Preprint: 17/2015 DOI: 10.1007/s00526-015-0943-x ARXIV: https://arxiv.org/abs/1502.07232

Felix Otto ; Lukas Döring and Radu Ignat: The magnetization ripple revisited [In: Mini-workshop : mathematics of magnetoelastic materials ; 30 October - 5 November 2016 ; report no. 51/2016]

In: Oberwolfach reports, 13 (2016) 4, p. 2917-2919

DOI: 10.4171/OWR/2016/51 LINK: https://publications.mfo.de/handle/mfo/3556

Giorgio Patrini ; Frank Nielsen ; Richard Nock and Marcello Carioni: Loss factorization, weakly supervised learning and label noise robustness

In: International conference on machine learning, 20-22 June 2016, New York, New York, USA / Maria Florina Balcan... (eds.)

Long Beach, California : PMLR, 2016. - P. 708-717

(Proceedings of machine learning research ; 48)

ARXIV: http://arxiv.org/abs/1602.02450 LINK: http://proceedings.mlr.press/v48/patrini16.html

Eviatar B. Procaccia ; Ron Rosenthal and Artem Sapozhnikov: Quenched invariance principle for simple random walk on clusters in correlated percolation models

In: Probability theory and related fields, 166 (2016) 3, p. 619-657

DOI: 10.1007/s00440-015-0668-y ARXIV: http://arxiv.org/abs/1310.4764

Angkana Rüland: A rigidity result for a reduced model of a cubic-to-orthorhombic phase transition in the geometrically linear theory of elasticity

In: Journal of elasticity, 123 (2016) 2, p. 137-177

DOI: 10.1007/s10659-015-9553-2 ARXIV: https://arxiv.org/abs/1305.6200

Angkana Rüland: The cubic-to-orthorhombic phase transition : rigidity and non-rigidity properties in the linear theory of elasticity

In: Archive for rational mechanics and analysis, 221 (2016) 1, p. 23-106

MIS-Preprint: 45/2013 DOI: 10.1007/s00205-016-0971-5

Artem Sapozhnikov and Jirí Cerny: Mixing time for the random walk on the range of the random walk on tori

In: Electronic journal of probability, 21 (2016), 26

DOI: 10.1214/16-ECP4750 ARXIV: https://arxiv.org/abs/1512.02790

Stefano Steffenoni ; Klaus Kroy and Gianmaria Falasco: Interacting Brownian dynamics in a nonequilibrium particle bath

In: Physical review / E, 94 (2016) 6, 062139

DOI: 10.1103/PhysRevE.94.062139 ARXIV: https://arxiv.org/abs/1610.06477

Sergey Tikhomirov: On absolute nonshadowability of transitive maps

In: Differential equations and control processes, 2016 (2016) 3, p. 57-65

MIS-Preprint: 36/2016 ARXIV: https://arxiv.org/abs/1606.07716 LINK: http://www.math.spbu.ru/diffjournal/EN/numbers/2016.3/article.1.6.html

Xin-Cindy Wang ; Thomas Blesgen ; Kaushik Bhattacharya and Michael Ortiz: A variational framework for spectral approximations of Kohn-Sham density functional theory

In: Archive for rational mechanics and analysis, 221 (2016) 2, p. 1035-1075

DOI: 10.1007/s00205-016-0978-y

Florent Barret: Sharp asymptotics of metastable transition times for one dimensional SPDEs

In: Annales de l'Institut Henri Poincaré / B, 51 (2015) 1, p. 129-166

DOI: 10.1214/13-AIHP575 ARXIV: http://arxiv.org/abs/1201.4440

Peter Bella: The transition between planar and wrinkled regions in a uniaxially stretched thin elastic film

In: Archive for rational mechanics and analysis, 216 (2015) 2, p. 623-672

MIS-Preprint: 47/2014 DOI: 10.1007/s00205-014-0816-z ARXIV: https://arxiv.org/abs/1404.6243

Peter Bella ; Eduard Feireisl ; Bum Ja Jin and Antonín Novotný: Robustness of strong solutions to the compressible Navier-Stokes system

In: Mathematische Annalen, 362 (2015) 1-2, p. 281-303

MIS-Preprint: 46/2014 DOI: 10.1007/s00208-014-1119-2 ARXIV: http://arxiv.org/abs/1404.1550

Peter Bella and Michael Goldman: Nucleation barriers at corners for cubic-to-tetragonal phase transformation

In: Proceedings of the Royal Society of Edinburgh / A, 145 (2015) 4, p. 715-724

MIS-Preprint: 107/2013 DOI: 10.1017/S0308210515000086 ARXIV: http://arxiv.org/abs/1311.5870

Peter Bella ; Michael Goldman and Barbara Zwicknagl: Study of island formation in epitaxially strained films on unbounded domains

In: Archive for rational mechanics and analysis, 218 (2015) 1, p. 163-217

MIS-Preprint: 32/2014 DOI: 10.1007/s00205-015-0858-x ARXIV: http://arxiv.org/abs/1402.3955

Katarína Bellová and Fanghua Lin: Nodal sets of Steklov eigenfunctions

In: Calculus of variations and partial differential equations, 54 (2015) 2, p. 2239-2268

MIS-Preprint: 19/2014 DOI: 10.1007/s00526-015-0864-8 ARXIV: http://arxiv.org/abs/1402.4323

Tristan Buckmaster and Herbert Koch: The Korteweg-de-Vries equation at \(H^{-1}\) regularity

In: Annales de l'Institut Henri Poincaré / C, 32 (2015) 5, p. 1071-1098

DOI: 10.1016/j.anihpc.2014.05.004 ARXIV: http://arxiv.org/abs/1112.4657

Antonin Chambolle ; Michael Goldman and Matteo Novaga: Fine properties of the subdifferential for a class of one-homogeneous functionals

In: Advances in calculus of variations, 8 (2015) 1, p. 31-42

DOI: 10.1515/acv-2012-0025 ARXIV: http://arxiv.org/abs/1210.8168

Yinshan Chang: Loop cluster on discrete circles

In: Electronic journal of probability, 20 (2015), 2

DOI: 10.1214/EJP.v20-3176 ARXIV: http://arxiv.org/abs/1311.7583

Yinshan Chang: A convergence result on the lengths of Markovian loops

In: Electronic communications in probability, 20 (2015), 73

DOI: 10.1214/ECP.v20-4263 ARXIV: https://arxiv.org/abs/1210.2520

Andres Contreras ; Xavier Lamy and Rémy Rodiac: Boundary regularity of weakly anchored harmonic maps

In: Comptes rendus mathematique, 353 (2015) 12, p. 1093-1097

DOI: 10.1016/j.crma.2015.09.014 ARXIV: http://arxiv.org/abs/1509.04155

Michael Cranston ; Benjamin Gess and Michael Scheutzow: Weak synchronization for isotropic flows

In: Discrete and continuous dynamical systems / B, 21 (2015) 9, p. 3003-3014

DOI: 10.3934/dcdsb.2016084 ARXIV: http://arxiv.org/abs/1510.09096

Camillo De Lellis and Emanuele Spadaro: Multiple valued functions and integral currents

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 14 (2015) 4, p. 1239-1269

MIS-Preprint: 54/2013 DOI: 10.2422/2036-2145.201306_002 ARXIV: http://arxiv.org/abs/1306.1188

Camillo De Lellis ; Emanuele Spadaro and Luca Spolaor: Regularity theory for 2-dimensional almost minimal currents III : blowup

MIS-Preprint: 61/2015 ARXIV: http://arxiv.org/abs/1508.05510

Arnaud Debussche ; Sylvain De Moor and Martina Hofmanová: A regularity result for quasilinear stochastic partial differential equations of parabolic type

In: SIAM journal on mathematical analysis, 47 (2015) 2, p. 1590-1614

MIS-Preprint: 2/2014 DOI: 10.1137/130950549 ARXIV: http://arxiv.org/abs/1401.6369

Sergey Dolgov and Boris N. Khoromskij: Simultaneous state-time approximation of the chemical master equation using tensor product formats

In: Numerical linear algebra with applications, 22 (2015) 2, p. 197-219

DOI: 10.1002/nla.1942 ARXIV: http://arxiv.org/abs/1311.3143

Sergey Dolgov ; Boris N. Khoromskij ; Alexander Litvinenko and Hermann G. Matthies: Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format

In: SIAM / ASA Journal on uncertainty quantification, 3 (2015) 1, p. 1109-1135

DOI: 10.1137/140972536 ARXIV: https://arxiv.org/abs/1503.03210

Sergey Dolgov and Dmitry V. Savostyanov: Corrected one-site density matrix renormalization group and alternating minimal energy algorithm

In: Numerical mathematics and advanced applications - ENUMATH 2013 : Proceedings of ENUMATH 2013, the 10th european conference on numerical mathematics and advanced applications, Lausanne, August 2013 / Assyr Abdulle... (eds.)

Cham : Springer, 2015. - P. 335-343

(Lecture notes in computational science and engineering ; 103)

DOI: 10.1007/978-3-319-10705-9_33

Lukas Döring: Asymmetric domain walls in soft ferromagnetic films

Dissertation, Universität Leipzig, 2015

Selim Esedoglu and Felix Otto: Threshold dynamics for networks with arbitrary surface tensions

In: Communications on pure and applied mathematics, 68 (2015) 5, p. 808-864

MIS-Preprint: 2/2013 DOI: 10.1002/cpa.21527

Elias Esselborn: Gradient flows for nonconvex energies : asymptotics and stability for two models from fluid mechanics

Dissertation, Universität Leipzig, 2015

Elias Esselborn ; Nicola Gigli and Felix Otto: Algebraic contraction rate for distance between entropy solutions of scalar conservation laws

In: Journal of mathematical analysis and applications, 435 (2015) 2, p. 1525-1551

MIS-Preprint: 9/2015 DOI: 10.1016/j.jmaa.2015.11.027

Julian Fischer: Estimates on front propagation for nonlinear higher-order parabolic equations : an algorithmic approach

In: Interfaces and free boundaries, 17 (2015) 1, p. 1-20

DOI: 10.4171/IFB/331 LINK: http://j-fischer.eu/pdf/algowaiting.pdf

Julian Fischer: A posteriori modeling error estimates for the assumption of perfect incompressibility in the Navier-Stokes equation

In: SIAM journal on numerical analysis, 53 (2015) 5, p. 2178-2205

DOI: 10.1137/140966654 LINK: https://www.semanticscholar.org/paper/A-Posteriori-Modeling-Error-Estimates-for-the-of-in-Fischer/256a4e00aed24ec81180fe4a60f959d48e7e2230

Julian Fischer: Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems

In: Archive for rational mechanics and analysis, 218 (2015) 1, p. 553-587

DOI: 10.1007/s00205-015-0866-x LINK: http://j-fischer.eu/publications.html

Julian Fischer and Günther Grün: Finite speed of propagation and waiting times for the stochastic porous medium equation : a unifying approach

In: SIAM journal on mathematical analysis, 47 (2015) 1, p. 825-854

DOI: 10.1137/140960578 LINK: http://j-fischer.eu/publications.html

Matteo Focardi ; Andrea Marchese and Emanuele Spadaro: Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result

In: Journal of functional analysis, 268 (2015) 11, p. 3290-3325

MIS-Preprint: 91/2014 DOI: 10.1016/j.jfa.2015.02.011 ARXIV: http://arxiv.org/abs/1409.2320

Matteo Focardi ; Paolo Maria Mariano and Emanuele Spadaro: Multi-value microstructural descriptors for complex materials : analysis of ground states

In: Archive for rational mechanics and analysis, 217 (2015) 3, p. 899-933

DOI: 10.1007/s00205-015-0846-1 LINK: https://www.researchgate.net/publication/271856506

Matteo Focardi ; Emanuele Spadaro and Maria Stella Gelli: Monotonicity formulas for obstacle problems with Lipschitz coefficients

In: Calculus of variations and partial differential equations, 54 (2015) 2, p. 1547-1573

MIS-Preprint: 53/2013 DOI: 10.1007/s00526-015-0835-0 ARXIV: http://arxiv.org/abs/1306.2127

Gilles Francfort and Stephan Luckhaus: Mini-workshop : scales in plasticity ; abstracts from the mini-workshop held November 8-14, 2015 ; report no. 53/2015

In: Oberwolfach reports, 12 (2015) 4, p. 3007-3048

DOI: 10.4171/OWR/2015/53 LINK: https://publications.mfo.de/handle/mfo/3500

Jan Fuhrmann and Angela Stevens: A free boundary problem for cell motion

In: Differential and integral equations, 28 (2015) 7/8, p. 695-732

MIS-Preprint: 32/2013 LINK: http://projecteuclid.org/euclid.die/1431347860

Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics

In: Inventiones mathematicae, 199 (2015) 2, p. 455-515

MIS-Preprint: 91/2013 DOI: 10.1007/s00222-014-0518-z

Antoine Gloria and Felix Otto: Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization

In: ESAIM / Proceedings, 48 (2015), p. 80-97

MIS-Preprint: 12/2015 DOI: 10.1051/proc/201448003 ARXIV: http://arxiv.org/abs/1409.1161

Antoine Gloria and Felix Otto: The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations

ARXIV: http://arxiv.org/abs/1510.08290

Manuel V. Gnann: Well-posedness and self-similar asymptotics for a thin-film equation

In: SIAM journal on mathematical analysis, 47 (2015) 4, p. 2868-2902

MIS-Preprint: 77/2014 DOI: 10.1137/14099190X

Michael Goldman ; Marc Josien and Felix Otto: New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations

In: Communications in partial differential equations, 40 (2015) 12, p. 2237-2265

MIS-Preprint: 24/2015 DOI: 10.1080/03605302.2015.1076003 ARXIV: http://arxiv.org/abs/1503.06059

Michael Goldman ; Matteo Novaga and Berardo Ruffini: Existence and stability for a non-local isoperimetric model of charged liquid drops

In: Archive for rational mechanics and analysis, 217 (2015) 1, p. 1-36

DOI: 10.1007/s00205-014-0827-9 ARXIV: http://arxiv.org/abs/1310.8217

Michael Goldman and Jimena Royo-Letelier: Sharp interface limit for two components Bose-Einstein condensates

In: Control, optimisation and calculus of variations (ESAIM-COCV), 21 (2015) 3, p. 603-624

DOI: 10.1051/cocv/2014040 ARXIV: http://arxiv.org/abs/1401.1727

Peter Hornung and Igor Velčić: Derivation of a homogenized von-Karman shell theory from 3D elasticity

In: Annales de l'Institut Henri Poincaré / C, 32 (2015) 5, p. 1039-1070

MIS-Preprint: 33/2013 DOI: 10.1016/j.anihpc.2014.05.003 ARXIV: http://arxiv.org/abs/1211.0045

Robert Huth ; Sebastian Jachalski ; Georgy Kitavtsev and Dirk Peschka: Gradient flow perspective on thin-film bilayer flows

In: Journal of engineering mathematics, 94 (2015) 1, p. 43-61

DOI: 10.1007/s10665-014-9698-1

Venera Khoromskaia and Boris N. Khoromskij: Tensor numerical methods in quantum chemistry : from Hartree-Fock to excitation energies

In: Physical chemistry, chemical physics, 17 (2015) 47, p. 31491-31509

MIS-Preprint: 19/2015 DOI: 10.1039/c5cp01215e ARXIV: http://arxiv.org/abs/1504.06289

Boris N. Khoromskij and Sergey Repin: A fast iteration method for solving elliptic problems with quasiperiodic coefficients

In: Russian journal of numerical analysis and mathematical modelling, 30 (2015) 6, p. 329-344

MIS-Preprint: 63/2015 DOI: 10.1515/rnam-2015-0030 ARXIV: http://arxiv.org/abs/1510.00284

Bernd Kirchheim ; Emanuele Spadaro and László Székelyhidi: Equidimensional isometric maps

In: Commentarii mathematici Helvetici, 90 (2015) 4, p. 761-798

MIS-Preprint: 89/2014 DOI: 10.4171/CMH/370 ARXIV: https://arxiv.org/abs/1408.6737

Georgy Kitavtsev ; Stephan Luckhaus and Angkana Rüland: Surface energies arising in microscopic modeling of martensitic transformations

In: Mathematical models and methods in applied sciences, 25 (2015) 4, p. 647-683

MIS-Preprint: 29/2014 DOI: 10.1142/S0218202515500153 ARXIV: http://arxiv.org/abs/1402.5256

Agnes Lamacz ; Stefan Neukamm and Felix Otto: Moment bounds for the corrector in stochastic homogenization of a percolation model

In: Electronic journal of probability, 20 (2015), 106

MIS-Preprint: 63/2014 DOI: 10.1214/EJP.v20-3618 ARXIV: http://arxiv.org/abs/1406.5723

Jianfeng Lu and Felix Otto: An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus

ARXIV: http://arxiv.org/abs/1508.07172

Stephan Luckhaus and Gianluca Lauteri: Energy Minimizing Maps and Dislocation Theory [In: Mini-workshop : scales in plasticity ; November 8-14, 2015 ; report no. 53/2015]

In: Oberwolfach reports, 12 (2015) 4, p. 3038-3039

DOI: 10.4171/OWR/2015/53 LINK: https://publications.mfo.de/handle/mfo/3500

Christian Maes and Stefano Steffenoni: Friction and noise for a probe in a nonequilibrium fluid

In: Physical review / E, 91 (2015) 2, 022128

DOI: 10.1103/PhysRevE.91.022128 ARXIV: http://arxiv.org/abs/1410.5933

Daniel Marahrens and Felix Otto: On annealed elliptic Green's function estimates

In: Mathematica bohemica, 140 (2015) 4, p. 489-506

MIS-Preprint: 13/2015 ARXIV: http://arxiv.org/abs/1401.2859 LINK: http://dml.cz/handle/10338.dmlcz/144465

Stefan Neukamm ; Antoine Gloria and Felix Otto: Quantitative stochastic homogenization of elliptic equations [In: Interplay of analysis and probability in applied mathematics ; 26 July - 1 August 2015 ; report no. 35/2015]

In: Oberwolfach reports, 12 (2015) 3, p. 2030-2033

DOI: 10.4171/OWR/2015/35

Stefan Neukamm and Heiner Olbermann: Homogenization of the nonlinear bending theory for plates

In: Calculus of variations and partial differential equations, 53 (2015) 3, p. 719-753

MIS-Preprint: 40/2013 DOI: 10.1007/s00526-014-0765-2 ARXIV: http://arxiv.org/abs/1305.6763

Camilla Nobili: Rayleigh-Bénard convection : bounds on the Nusselt number

Dissertation, Universität Leipzig, 2015

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-202241

Felix Otto and Hendrik Weber: Hölder regularity for a non-linear parabolic equation driven by space-time white noise

MIS-Preprint: 31/2015 ARXIV: http://arxiv.org/abs/1505.00809

Mircea Petrache: Interior partial regularity for minimal \(L^p\)-vector fields with integer fluxes

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 14 (2015) 4, p. 1119-1156

DOI: 10.2422/2036-2145.201207_003 ARXIV: http://arxiv.org/abs/1204.0209

Sergey Repin: Estimates of the distance to the set of divergence free fields and applications to quantitative analysis of incompressible fluids

In: Journal of mathematical sciences, 210 (2015) 6, p. 822-834

MIS-Preprint: 50/2014 DOI: 10.1007/s10958-015-2593-0

Eris Runa: Finite range decomposition for a general class of elliptic operators

ARXIV: http://arxiv.org/abs/1510.07604

Eris Runa: Sobolev and SBV representation theorems for large volume limit Gibbs measures

ARXIV: http://arxiv.org/abs/1510.06980

Sergey Tikhomirov: Quantitative properties of infinite and finite pseudotrajectories

Habilitation, Universität Leipzig, 2015

MIS-Preprint: 36/2015

Sergey Tikhomirov: Hölder shadowing on finite intervals

In: Ergodic theory and dynamical systems, 35 (2015) 6, p. 2000-2016

MIS-Preprint: 106/2013 DOI: 10.1017/etds.2014.7 ARXIV: http://arxiv.org/abs/1106.4053

Sergey Tikhomirov: An example of a vector field with the oriented shadowing property

In: Journal of dynamical and control systems, 21 (2015) 4, p. 643-654

MIS-Preprint: 43/2014 DOI: 10.1007/s10883-015-9272-9 ARXIV: http://arxiv.org/abs/1403.7378

Sergey Tikhomirov: Shadowing in linear skew products

In: Journal of mathematical sciences, 209 (2015) 6, p. 979-987

MIS-Preprint: 107/2014 DOI: 10.1007/s10958-015-2541-z ARXIV: http://arxiv.org/abs/1411.1541

Sergey Tikhomirov: Shadowing in linear skew products

In: Zapiski naucnych seminarov POMI, 432 (2015), p. 261-273

MIS-Preprint: 107/2014 ARXIV: http://arxiv.org/abs/1411.1541 LINK: http://mi.mathnet.ru/eng/znsl6120

Sergey Tikhomirov: Hysterese

In: Jahrbuch der Max-Planck-Gesellschaft, 2015 (2015), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

LINK: https://www.mpg.de/8851875/MPI_MIS_JB_2015?c=9262520

Igor Velčić: A note on the derivation of homogenized bending plate model

In: Calculus of variations and partial differential equations, 53 (2015) 3-4, p. 561-586

MIS-Preprint: 34/2013 DOI: 10.1007/s00526-014-0758-1 ARXIV: http://arxiv.org/abs/1212.2594

Markus Aurada ; Michael Ebner ; Michael Feischl ; Samuel Ferraz-Leite ; Thomas Führer ; Petra Goldenits ; Michael Karkulik ; Markus Mayr and Dirk Praetorius: HILBERT : a Matlab implementation of adaptive 2D-BEM

In: Numerical algorithms, 67 (2014) 1, p. 1-32

DOI: 10.1007/s11075-013-9771-2

Florent Barret and Max von Renesse: Averaging principle for diffusion processes via Dirichlet forms

In: Potential analysis, 41 (2014) 4, p. 1033-1063

MIS-Preprint: 64/2013 DOI: 10.1007/s11118-014-9405-x ARXIV: http://arxiv.org/abs/1307.4248

Peter Bella: Transition between planar and wrinkled regions in uniaxially stretched thin elastic film [In: Calculus of variations ; 13 July - 19 July 2014 ; report no. 33/2014]

In: Oberwolfach reports, 11 (2014) 3, p. 1809-1815

DOI: 10.4171/OWR/2014/33 ARXIV: https://arxiv.org/abs/1404.6243 LINK: https://publications.mfo.de/handle/mfo/3423

Peter Bella ; Eduard Feireisl and Antonín Novotný: Dimension reduction for compressible viscous fluids

In: Acta applicandae mathematicae, 134 (2014) 1, p. 111-121

MIS-Preprint: 51/2013 DOI: 10.1007/s10440-014-9872-5

Peter Bella and Robert V. Kohn: Metric-induced wrinkling of a thin elastic sheet

In: Journal of nonlinear science, 24 (2014) 6, p. 1147-1176

MIS-Preprint: 35/2013 DOI: 10.1007/s00332-014-9214-9

Peter Bella and Robert V. Kohn: Wrinkles as the result of compressive stresses in an annular thin film

In: Communications on pure and applied mathematics, 67 (2014) 5, p. 693-747

DOI: 10.1002/cpa.21471

Giovanni Bellettini ; Antonin Chambolle and Michael Goldman: The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension

In: Mathematical models and methods in applied sciences, 24 (2014) 6, p. 1091-1113

DOI: 10.1142/S0218202513500772 ARXIV: http://arxiv.org/abs/1301.5170

Tristan Buckmaster: Onsager's conjecture

Dissertation, Universität Leipzig, 2014

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151135

Dorin Bucur and Stephan Luckhaus: Monotonicity formula and regularity for general free discontinuity problems

In: Archive for rational mechanics and analysis, 211 (2014) 2, p. 489-511

DOI: 10.1007/s00205-013-0671-3

Antonin Chambolle ; Michael Goldman and Matteo Novaga: Plane-like minimizers and differentiability of the stable norm

In: The journal of geometric analysis, 24 (2014) 3, p. 1447-1489

DOI: 10.1007/s12220-012-9380-7 ARXIV: http://arxiv.org/abs/1205.1289

Yinshan Chang: Multi-occupation field generates the Borel-sigma-field of loops

In: Seminaire de probabilites XLVI / Antoine Lejay... (eds.)

Cham : Springer, 2014. - P. 401-410

(Lecture notes in mathematics ; 2123)

DOI: 10.1007/978-3-319-11970-0_17 ARXIV: http://arxiv.org/abs/1309.1558

Camillo De Lellis and Emanuele Spadaro: Regularity of area minimizing currents I : gradient Lp estimates

In: Geometric and functional analysis, 24 (2014) 6, p. 1831-1884

MIS-Preprint: 55/2013 DOI: 10.1007/s00039-014-0306-3 ARXIV: http://arxiv.org/abs/1306.1195

Sergey Dolgov: Tensor product methods in numerical simulation of high-dimensional dynamical problems

Dissertation, Universität Leipzig, 2014

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151129

Sergey Dolgov ; Boris N. Khoromskij ; Alexander Litvinenko and Hermann G. Matthies: Computation of the response surface in the tensor train data format

MIS-Preprint: 59/2014 ARXIV: http://arxiv.org/abs/1406.2816

Sergey Dolgov ; Boris N. Khoromskij ; Ivan V. Oseledets and Dmitry V. Savostyanov: Computation of extreme eigenvalues in higher dimensions using block tensor train format

In: Computer physics communications, 185 (2014) 4, p. 1207-1216

MIS-Preprint: 59/2013 DOI: 10.1016/j.cpc.2013.12.017 ARXIV: http://arxiv.org/abs/1306.2269

Sergey Dolgov and Dmitry V. Savostyanov: Alternating minimal energy methods for linear systems in higher dimensions

In: SIAM journal on scientific computing, 36 (2014) 5, p. A2248-A2271

DOI: 10.1137/140953289 ARXIV: http://arxiv.org/abs/1304.1222

Sergey Dolgov ; Alexander P. Smirnov and Eugene E. Tyrtyshnikov: Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma

In: Journal of computational physics, 263 (2014), p. 268-282

DOI: 10.1016/j.jcp.2014.01.029 ARXIV: http://arxiv.org/abs/1308.5952

Patrick W. Dondl ; Luca Mugnai and Matthias Röger: A phase field model for the optimization of the Willmore energy in the class of connected surface

In: SIAM journal on mathematical analysis, 46 (2014) 2, p. 1610-1632

DOI: 10.1137/130921994 ARXIV: http://arxiv.org/abs/1305.5054

Alexander Drewitz ; Balazs Rath and Artem Sapozhnikov: Local percolative properties of the vacant set of random interlacements with small intensity

In: Annales de l'Institut Henri Poincaré / B, 50 (2014) 4, p. 1165-1197

DOI: 10.1214/13-AIHP540 ARXIV: http://arxiv.org/abs/1206.6635

Alexander Drewitz ; Balazs Rath and Artem Sapozhnikov: On chemical distances and shape theorems in percolation models with long-range correlations

In: Journal of mathematical physics, 55 (2014) 8, 083307

DOI: 10.1063/1.4886515 ARXIV: http://arxiv.org/abs/1212.2885

Alexander Drewitz ; Balazs Rath and Artem Sapozhnikov: An introduction to random interlacements

Cham : Springer, 2014. - X, 120 p.

(SpringerBriefs in mathematics)

ISBN 978-3-319-05851-1 ISBN 978-3-319-05852-8

DOI: 10.1007/978-3-319-05852-8

Lukas Döring ; Radu Ignat and Felix Otto: A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types

In: Journal of the European Mathematical Society, 16 (2014) 7, p. 1377-1422

MIS-Preprint: 33/2012 DOI: 10.4171/JEMS/464 ARXIV: https://arxiv.org/abs/1309.2494

Matt Elsey and Benedikt Wirth: Fast automated detection of crystal distortion and crystal defects in polycrystal images

In: Multiscale modeling and simulation, 12 (2014) 1, p. 1-24

DOI: 10.1137/130916515

Gianmaria Falasco ; Manuel V. Gnann and Klaus Kroy: Non-isothermal fluctuation-dissipation relations and Brownian thermometry

ARXIV: http://arxiv.org/abs/1406.2116

Gianmaria Falasco ; Manuel V. Gnann ; D. Rings and Klaus Kroy: Effective temperatures of hot Brownian motion

In: Physical review / E, 90 (2014) 3, 032131

DOI: 10.1103/PhysRevE.90.032131 ARXIV: http://arxiv.org/abs/1403.4040

Julian Fischer: Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems [In: Variational methods for evolution ; 14 December - 20 December 2014 ; report no. 57/2014]

In: Oberwolfach reports, 11 (2014) 4, p. 3208-3211

DOI: 10.4171/OWR/2014/57 LINK: https://publications.mfo.de/handle/mfo/3447

Lorenzo Giacomelli ; Manuel V. Gnann ; Hans Knüpfer and Felix Otto: Well-posedness for the Navier-Slip thin-film equation in the case of complete wetting

In: Journal of differential equations, 257 (2014) 1, p. 15-81

MIS-Preprint: 1/2014 DOI: 10.1016/j.jde.2014.03.010

Antoine Gloria ; Stefan Neukamm and Felix Otto: An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations

In: ESAIM / Mathematical modelling and numerical analysis, 48 (2014) 2, p. 325-346

MIS-Preprint: 41/2013 DOI: 10.1051/m2an/2013110 ARXIV: https://arxiv.org/abs/1409.1157

Antoine Gloria and Felix Otto: Quantitative theory in stochastic homogenization

LINK: https://hal.inria.fr/hal-00933251/document

Manuel V. Gnann: The moving contact line in viscous thin films : a singular free boundary problem

Dissertation, Universität Leipzig, 2014

Michael Goldman and Barbara Zwicknagl: Scaling law and reduced models for epitaxially strained crystalline films

In: SIAM journal on mathematical analysis, 46 (2014) 1, p. 1-24

DOI: 10.1137/120897250

Pavel Gurevich and Sergey Tikhomirov: Systems of reaction-diffusion equations with spatially distributed hysteresis

In: Mathematica bohemica, 139 (2014) 2, p. 239-257

MIS-Preprint: 94/2013 ARXIV: http://arxiv.org/abs/1210.6252 LINK: https://dml.cz/handle/10338.dmlcz/143852

Remco van der Hofstad and Artem Sapozhnikov: Cycle structure of percolation on high-dimensional tori

In: Annales de l'Institut Henri Poincaré / B, 50 (2014) 3, p. 999-1027

DOI: 10.1214/13-AIHP565 ARXIV: http://arxiv.org/abs/1109.1233

Peter Hornung ; Stefan Neukamm and Igor Velčić: Derivation of a homogenized nonlinear plate theory from 3d elasticity

In: Calculus of variations and partial differential equations, 51 (2014) 3/4, p. 677-699

MIS-Preprint: 23/2013 DOI: 10.1007/s00526-013-0691-8 ARXIV: http://arxiv.org/abs/1210.5461

Sebastian Jachalski ; Georgy Kitavtsev and Roman Taranets: Weak solutions to lubrication systems describing the evolution of bilayer thin films

In: Communications in mathematical sciences, 12 (2014) 3, p. 527-544

DOI: 10.4310/CMS.2014.v12.n3.a7 ARXIV: http://arxiv.org/abs/1211.2216

Boris Khesin ; Sergei Kuksin and Daniel Peralta-Salas: KAM theory and the 3D Euler equation

In: Advances in mathematics, 267 (2014), p. 498-522

DOI: 10.1016/j.aim.2014.09.009 ARXIV: http://arxiv.org/abs/1401.5516

Venera Khoromskaia: Black-box Hartree-Fock solver by tensor numerical methods

In: Computational methods in applied mathematics, 14 (2014) 1, p. 89-111

MIS-Preprint: 90/2013 DOI: 10.1515/cmam-2013-0023

Venera Khoromskaia and Boris N. Khoromskij: Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation

In: Computer physics communications, 185 (2014) 12, p. 3162-3174

MIS-Preprint: 116/2013 DOI: 10.1016/j.cpc.2014.08.015 ARXIV: http://arxiv.org/abs/1405.2270

Venera Khoromskaia and Boris N. Khoromskij: Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals

In: Computer physics communications, 185 (2014) 1, p. 2-10

MIS-Preprint: 26/2013 DOI: 10.1016/j.cpc.2013.08.004

Venera Khoromskaia and Boris N. Khoromskij: Tensor numerical approach to linearized Hartree-Fock equation for lattice-type and periodic systems

ARXIV: http://arxiv.org/abs/1408.3839

Venera Khoromskaia and Boris N. Khoromskij: Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects

MIS-Preprint: 88/2014 ARXIV: http://arxiv.org/abs/1411.1994

Venera Khoromskaia and Boris N. Khoromskij: Tensor numerical approach to linearized Hartree-Fock equation for lattice-type and periodic systems

MIS-Preprint: 62/2014 ARXIV: http://arxiv.org/abs/1408.3839

Boris N. Khoromskij ; Venera Khoromskaia and Sergey Dolgov: Recent advances in grid-based tensor numerical methods in electronic and molecular structure simulations [In: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; May 11 - 16, 2014 ; report no. 24/2014]

In: Oberwolfach reports, 11 (2014) 2, p. 1333-1334

DOI: 10.4171/OWR/2014/24 LINK: https://publications.mfo.de/handle/mfo/3414

Georgy Kitavtsev: Coarsening rates for the dynamics of slipping droplets

In: European journal of applied mathematics, 25 (2014), p. 83-115

MIS-Preprint: 38/2012 DOI: 10.1017/S0956792513000314 ARXIV: http://arxiv.org/abs/1207.1057

Roman Kotecký and Stephan Luckhaus: Nonlinear elastic free energies and gradient Young-Gibbs measures

In: Communications in mathematical physics, 326 (2014) 3, p. 887-917

DOI: 10.1007/s00220-014-1903-6 ARXIV: http://arxiv.org/abs/1206.6009

Jianfeng Lu and Felix Otto: Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model

In: Communications on pure and applied mathematics, 67 (2014) 10, p. 1605-1617

DOI: 10.1002/cpa.21477

Daniel Marahrens and Felix Otto: Effektive Beschreibung von heterogenen Medien

In: Jahrbuch der Max-Planck-Gesellschaft, 2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

LINK: http://www.mpg.de/7775250/MPI_MIS_JB_2014

Daniel Marahrens and Felix Otto: Annealed estimates on the Green function

In: Probability theory and related fields, 163 (2014) 3-4, p. 527-573

MIS-Preprint: 69/2012 DOI: 10.1007/s00440-014-0598-0 ARXIV: http://arxiv.org/abs/1304.4408

Georg Menz and Robin Nittka: Decay of correlations in 1D lattice systems of continuous spins and long-range interaction

In: Journal of statistical physics, 156 (2014) 2, p. 239-267

DOI: 10.1007/s10955-014-1011-1 ARXIV: http://arxiv.org/abs/1309.0857

Georg Menz and André Schlichting: Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape

In: The annals of probability, 42 (2014) 5, p. 1809-1884

MIS-Preprint: 40/2012 DOI: 10.1214/14-AOP908 ARXIV: http://arxiv.org/abs/1202.1510

Georg Menz and André Schlichting: Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape

In: The annals of probability, 42 (2014) 5, p. 1809-1884

DOI: 10.1214/14-AOP908 ARXIV: http://arxiv.org/abs/1202.1510

Robin Nittka: Inhomogeneous parabolic Neumann problems

In: Czechoslovak mathematical journal, 64 (2014) 3, p. 703-742

DOI: 10.1007/s10587-014-0127-4 ARXIV: https://arxiv.org/abs/1108.6227

Alexey Osipov and Sergey Tikhomirov: Shadowing for actions of some finitely generated groups

In: Dynamical systems : an international journal, 29 (2014) 3, p. 337-351

MIS-Preprint: 12/2014 DOI: 10.1080/14689367.2014.902037 ARXIV: http://arxiv.org/abs/1305.7394

Felix Otto ; Hendrik Weber and Maria G. Westdickenberg: Invariant measure of the stochastic Allen-Cahn equation : the regime of small noise and large system size

In: Electronic journal of probability, 19 (2014), 23

MIS-Preprint: 1/2013 DOI: 10.1214/EJP.v19-2813 ARXIV: http://arxiv.org/abs/1301.0408

Felix Otto and Maria G. Westdickenberg: Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation

In: SIAM journal on mathematical analysis, 46 (2014) 1, p. 720-756

DOI: 10.1137/130925517

Dmitry V. Savostyanov ; Sergey Dolgov ; J. M. Werner and Ilya Kuprov: Exact NMR simulation of protein-size spin systems using tensor train formalism

In: Physical review / B, 90 (2014) 8, 085139

DOI: 10.1103/PhysRevB.90.085139 ARXIV: http://arxiv.org/abs/1402.4516

Emanuele Spadaro: Regularity of higher codimension area minimizing integral currents

In: Geometric measure theory and real analysis / Luigi Ambrosio (ed.)

Edizioni della Normale : Pisa, 2014. - P. 131-192

(Publications of the Scuola Normale Superiore / CRM series ; 17)

DOI: 10.1007/978-88-7642-523-3_3 ARXIV: https://arxiv.org/abs/1501.03720 LINK: https://www.mis.mpg.de/de/publications/andere-reihen/ln/4415.html

Stefan Adams: Large deviations for stochastic processes

LINK: https://www.mis.mpg.de/de/publications/andere-reihen/ln/4213.html

Weizhu Bao ; Daniel Marahrens ; Qinglin Tang and Yanzhi Zhang: A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via rotating Lagrangian coordinates

In: SIAM journal on scientific computing, 35 (2013) 6, p. A2671-A2695

DOI: 10.1137/130911111 ARXIV: http://arxiv.org/abs/1305.1378

Rajat Bhatnagar and Robert Finn: Attractions and repulsions of parallel plates partially immersed in a liquid bath : III

In: Boundary value problems, 2013 (2013) 12, 277

MIS-Preprint: 96/2013 DOI: 10.1186/1687-2770-2013-277

Thomas Blesgen: Deformation patterning in the framework of large-strain Cosserat plasticity

In: Modelling and simulation in materials science and engineering, 21 (2013) 3, 035001

DOI: 10.1088/0965-0393/21/3/035001 ARXIV: https://arxiv.org/abs/1208.3331

Thomas Blesgen and Isaac Vikram Chenchiah: Cahn-Hilliard equations incorporating elasticity : analysis and comparison to experiments

In: Philosophical transactions of the Royal Society / A, 371 (2013) 2005, 20120342

DOI: 10.1098/rsta.2012.0342 LINK: https://www.researchgate.net/publication/255819640

Thomas Blesgen ; Fernando Fraternali ; J. R. Raney and C. Daraio: Multiscale mass-spring models of carbon nanotube arrays accounting for Mullins-like behavior and permanent deformation

In: Multiscale modeling and simulation, 11 (2013) 2, p. 545-565

DOI: 10.1137/12087311X

Thomas Blesgen and Anja Schlömerkemper: On the Allen-Cahn/Cahn-Hilliard system with a geometrically linear elastic energy

In: Proceedings of the Royal Society of Edinburgh / A, 144 (2013) 2, p. 241-266

DOI: 10.1017/S030821051200203X ARXIV: http://arxiv.org/abs/1202.5197

Gioia Carinci and Stephan Luckhaus: Langevin dynamics with a tilted periodic potential

In: Journal of statistical physics, 151 (2013) 5, p. 870-895

DOI: 10.1007/s10955-013-0721-0 ARXIV: https://arxiv.org/abs/1208.1651

Antonin Chambolle ; Michael Goldman and Matteo Novaga: Existence and qualitative properties of isoperimetric sets in periodic media

In: Geometric partial differential equations proceedings / Antonin Chambolle... (eds.)

Pisa : Edizioni della Normale, 2013. - P. 75-92

(CRM series ; 15)

DOI: 10.1007/978-88-7642-473-1_3 ARXIV: http://arxiv.org/abs/1211.1765

Marco Cicalese and Emanuele Spadaro: Droplet minimizers of an isoperimetric problem with long-range interactions

In: Communications on pure and applied mathematics, 66 (2013) 8, p. 1298-1333

MIS-Preprint: 70/2011 DOI: 10.1002/cpa.21463 ARXIV: http://arxiv.org/abs/1110.0031

Eleonora Cinti: Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 12 (2013) 3, p. 623-665

MIS-Preprint: 41/2011 DOI: 10.2422/2036-2145.201107_002 ARXIV: http://arxiv.org/abs/1107.2306

Antonio DeSimone ; Stephan Luckhaus and Lev Truskinovsky: Material theories : 15 December - 21 December 2013 ; report no. 59/2013

In: Oberwolfach reports, 10 (2013) 4, p. 3433-3485

DOI: 10.4171/OWR/2013/59 LINK: https://publications.mfo.de/handle/mfo/3390

Sergey Dolgov: TT-GMRES : on solution to a linear system in the structured tensor format

In: Russian journal of numerical analysis and mathematical modelling, 28 (2013) 2, p. 149-172

DOI: 10.1515/rnam-2013-0009 ARXIV: http://arxiv.org/abs/1206.5512

Sergey Dolgov and Boris N. Khoromskij: Two-level QTT-Tucker format for optimized tensor calculus

In: SIAM journal on matrix analysis and applications, 34 (2013) 2, p. 593-623

MIS-Preprint: 19/2012 DOI: 10.1137/120882597

Sergey Dolgov and Dmitry V. Savostyanov: Alternating minimal energy methods for linear systems in higher dimensions. Pt. 1 : SPD systems

MIS-Preprint: 10/2013 ARXIV: http://arxiv.org/abs/1301.6068

Sergey Dolgov and Dmitry V. Savostyanov: Alternating minimal energy methods for linear systems in higher dimensions. Pt. 2 : Faster algorithm and application to nonsymmetric systems

MIS-Preprint: 36/2013 ARXIV: http://arxiv.org/abs/1304.1222

Samuel Ferraz-Leite: Stabilization of a degenerate minimization problem with the single-layer potential

In: Numerical Mathematics and Advanced Applications 2011 : Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011 / Andrea Cangiani (ed.)

Berlin : Springer, 2013. - P. 101-109

MIS-Preprint: 84/2011 DOI: 10.1007/978-3-642-33134-3_11

Robert Finn: Capillary forces on partially immersed plates

In: Differential and difference equations with applications : contributions from the international conference on differential & difference equations and applications ; [conference in honor of Professor Ravi P. Agarwal ; Ponta Delgada, Portugal ; July 4 - 8, 2011] / Sandra Pinelas (ed.)

Berlin : Springer, 2013. - P. 13-25

(Springer proceedings in mathematics ; 47)

MIS-Preprint: 78/2011 DOI: 10.1007/978-1-4614-7333-6_2

Robert Finn and Devin Lu: Mutual attractions of partially immersed parallel plates

In: Journal of mathematical fluid mechanics, 15 (2013) 2, p. 273-301

MIS-Preprint: 79/2011 DOI: 10.1007/s00021-012-0105-2

Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto: Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3

In: European journal of applied mathematics, 24 (2013) 5, p. 735-760

MIS-Preprint: 23/2012 DOI: 10.1017/S0956792513000156

Nicola Gigli and Felix Otto: Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric

In: Calculus of variations and partial differential equations, 47 (2013) 1-2, p. 181-206

MIS-Preprint: 39/2012 DOI: 10.1007/s00526-012-0515-2

Antoine Gloria ; Stefan Neukamm and Felix Otto: A quantitative two-scale expansion in stochastic homogenization [In: Interplay of theory and numerics for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report no. 14/2013]

In: Oberwolfach reports, 10 (2013) 1, p. 821-821

DOI: 10.4171/OWR/2013/14 LINK: https://publications.mfo.de/handle/mfo/3345

Antoine Gloria ; Stefan Neukamm and Felix Otto: Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics - long version

MIS-Preprint: 3/2013

Michael Hintermüller ; Daniel Marahrens ; Peter A. Markowich and Christof Sparber: Optimal bilinear control of Gross-Pitaevskii equations

In: SIAM journal on control and optimization, 51 (2013) 3, p. 2509-2543

DOI: 10.1137/120866233

Sebastian Jachalski ; Robert Huth ; Georgy Kitavtsev ; Dirk Peschka and Barbara Wagner: Stationary solutions of liquid two-layer thin-film models

In: SIAM journal on applied mathematics, 73 (2013) 3, p. 1183-1202

DOI: 10.1137/120886613 ARXIV: http://arxiv.org/abs/1210.5842 LINK: http://www.wias-berlin.de/preprint/1670/wias_preprints_1670.pdf

Venera Khoromskaia ; Boris N. Khoromskij and Reinhold Schneider: Tensor-structured factorized calculation of two-electron integrals in a general basis

In: SIAM journal on scientific computing, 35 (2013) 2, p. A987-A1010

MIS-Preprint: 29/2012 DOI: 10.1137/120884067

Gereon Knott: Oscillatory solutions to hyperbolic conservation laws and active scalar equations

Dissertation, Universität Leipzig, 2013

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-122808

Hans Knüpfer ; Robert V. Kohn and Felix Otto: Nucleation barriers for the cubic-to-tetragonal phase transformation

In: Communications on pure and applied mathematics, 66 (2013) 6, p. 867-904

MIS-Preprint: 35/2011 DOI: 10.1002/cpa.21448

Stephan Luckhaus and Jens Wohlgemuth: Study of a model for reference-free plasticity

MIS-Preprint: 111/2013 ARXIV: https://arxiv.org/abs/1408.1355

Daniel Marahrens and Felix Otto: Regularity for elliptic equations with i.i.d. coefficients [In: Classical and quantum mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report no. 57/2013]

In: Oberwolfach reports, 10 (2013) 4, p. 3352-3354

DOI: 10.4171/OWR/2013/57 LINK: https://publications.mfo.de/handle/mfo/3388

Georg Menz and Felix Otto: Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential

In: The annals of probability, 41 (2013) 3B, p. 2182-2224

MIS-Preprint: 5/2011 DOI: 10.1214/11-AOP715 ARXIV: https://arxiv.org/abs/1307.2338

Hayk Mikayelyan and Henrik Shahgholian: Convexity of the free boundary for an exterior free boundary problem involving the perimeter

In: Communications on pure and applied analysis, 12 (2013) 3, p. 1431-1443

MIS-Preprint: 52/2006 DOI: 10.3934/cpaa.2013.12.1431 ARXIV: http://arxiv.org/abs/1010.2960

Luca Mugnai: Gamma-convergence results for phase-field approximations of the 2D-Euler elastica functional

In: Control, optimisation and calculus of variations (ESAIM-COCV), 19 (2013) 3, p. 740-753

DOI: 10.1051/cocv/2012031 ARXIV: http://arxiv.org/abs/1009.5826

Luca Mugnai and Christian Seis: On the coarsening rates for attachment-limited kinetics

In: SIAM journal on mathematical analysis, 45 (2013) 1, p. 324-344

MIS-Preprint: 14/2012 DOI: 10.1137/120865197

Delio Mugnolo ; Robin Nittka and Olaf Post: Norm convergence of sectorial operators on varying Hilbert spaces

In: Operators and matrices, 7 (2013) 4, p. 955-995

DOI: 10.7153/oam-07-54 ARXIV: http://arxiv.org/abs/1007.3932

Stefan Neukamm and Igor Velčić: Derivation of a homogenized Von-Karman plate theory from 3d nonlinear elasticity

In: Mathematical models and methods in applied sciences, 23 (2013) 14, p. 2701-2748

MIS-Preprint: 61/2012 DOI: 10.1142/S0218202513500449

Robin Nittka: Quasilinear elliptic and parabolic Robin problems on Lipschitz domains

In: Nonlinear differential equations and applications, 20 (2013) 3, p. 1125-1155

DOI: 10.1007/s00030-012-0201-2 ARXIV: https://arxiv.org/abs/1104.5125

Felix Otto ; Christian Seis and Camilla Nobili: Rayleigh-Bénard convection : bounds on the Nusselt number [In: Geophysical fluid dynamics ; 17 February - 23 February 2013 ; report no. 10/2013]

In: Oberwolfach reports, 10 (2013) 1, p. 544-545

DOI: 10.4171/OWR/2013/10 LINK: https://publications.mfo.de/handle/mfo/3341

Felix Otto ; Christian Seis and Dejan Slepčev: Crossover of the coarsening rates in demixing of binary viscous liquids

In: Communications in mathematical sciences, 11 (2013) 2, p. 441-464

MIS-Preprint: 21/2012 DOI: 10.4310/CMS.2013.v11.n2.a6

Felix Otto and Maria G. Westdickenberg: Stability of kinks in Cahn-Hilliard equations - energy/energy dissipation methods [In: Classical and quantum mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report no. 57/2013]

In: Oberwolfach reports, 10 (2013) 4, p. 3363-3363

DOI: 10.4171/OWR/2013/57 LINK: https://publications.mfo.de/handle/mfo/3388

Ivano Primi ; Angela Stevens and Juan J. L. Velázquez: Pattern forming instabilities driven by non-diffusive interactions

In: Networks and heterogeneous media, 8 (2013) 1, p. 397-432

MIS-Preprint: 18/2009 DOI: 10.3934/nhm.2013.8.397

Balazs Rath and Artem Sapozhnikov: The effect of small quenched noise on connectivity properties of random interlacements

In: Electronic journal of probability, 18 (2013), 4

DOI: 10.1214/EJP.v18-2122 ARXIV: https://arxiv.org/abs/1109.5086

Melanie Rupflin ; Peter M. Topping and Miaomiao Zhu: Asymptotics of the Teichmüller harmonic map flow

In: Advances in mathematics, 244 (2013), p. 874-893

DOI: 10.1016/j.aim.2013.05.021 ARXIV: http://arxiv.org/abs/1209.3783

Jan Schneider: Interpolation theory and approximation issues in function spaces

LINK: https://www.mis.mpg.de/de/publications/andere-reihen/ln/4313.html

Matti Schneider: The Leray-Serre spectral sequence in Morse homology on Hilbert manifolds and in Floer homology on cotangent bundles

Dissertation, Universität Leipzig, 2013

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-104619

Christian Seis: Laminar boundary layers in convective heat transport

In: Communications in mathematical physics, 324 (2013) 3, p. 995-1031

MIS-Preprint: 63/2012 DOI: 10.1007/s00220-013-1826-7 ARXIV: https://arxiv.org/abs/1212.2940

László Székelyhidi: From isometric embeddings to turbulence

In: HCDTE lecture notes. Part II. Nonlinear hyperbolic PDEs, dispersive and transport equations / Giovanni Alberti... (eds.)

Springfield : American Institute of Mathematical Sciences, 2013. - P. 195-255

(AIMS series on applied mathematics ; 7)

LINK: https://aimsciences.org/book/AM/volume/Volume%207

Jens Wohlgemuth: Study of a model for reference-free plasticity

Dissertation, Universität Leipzig, 2013

MIS-Preprint: 111/2013 LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-113290

John Andersson and Hayk Mikayelyan: On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

In: Mathematische Annalen, 352 (2012) 2, p. 357-372

MIS-Preprint: 41/2006 DOI: 10.1007/s00208-011-0647-2

Markus Aurada ; Samuel Ferraz-Leite ; Petra Goldenits ; Michael Karkulik ; Markus Mayr and Dirk Praetorius: Convergence of adaptive BEM for some mixed boundary value problem

In: Applied numerical mathematics, 62 (2012) 4, p. 226-245

DOI: 10.1016/j.apnum.2011.03.008

Markus Aurada ; Samuel Ferraz-Leite and Dirk Praetorius: Estimator reduction and convergence of adaptive BEM

In: Applied numerical mathematics, 62 (2012) 6, special issue, p. 787-801

DOI: 10.1016/j.apnum.2011.06.014

Thomas Blesgen: A projected gradient descent method for the solution of the finite-strain elasto-plastic Cosserat model

Thomas Blesgen ; Fernando Fraternali ; J. R. Raney ; A. Amendola and C. Daraio: Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage

In: Mechanics research communications, 45 (2012), p. 58-63

DOI: 10.1016/j.mechrescom.2012.07.006 ARXIV: http://arxiv.org/abs/1112.2268

Thomas Blesgen ; Vikram Gavini and Venera Khoromskaia: Approximation of the electron density of aluminium clusters in tensor-product format

In: Journal of computational physics, 231 (2012) 6, p. 2551-2564

MIS-Preprint: 66/2009 DOI: 10.1016/j.jcp.2011.12.009

Sergey Dolgov and Boris N. Khoromskij: Tensor-product approach to global time-space-parametric discretization of chemical master equation

MIS-Preprint: 68/2012

Sergey Dolgov ; Boris N. Khoromskij and Ivan V. Oseledets: Fast solution of parabolic problems in the tensor train/quantized tensor train format with initial application to the Fokker-Planck equation

In: SIAM journal on scientific computing, 34 (2012) 6, p. A3016-A3038

MIS-Preprint: 80/2011 DOI: 10.1137/120864210

Sergey Dolgov ; Boris N. Khoromskij ; Ivan V. Oseledets and Eugene E. Tyrtyshnikov: Low-rank tensor structure of solutions to elliptic problems with jumping coefficients

In: Journal of computational mathematics, 30 (2012) 1, p. 14-23

MIS-Preprint: 12/2011 DOI: 10.4208/jcm.1110-m11si08

Sergey Dolgov ; Boris N. Khoromskij ; Ivan V. Oseledets and Eugene E. Tyrtyshnikov: A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients

In: Linear algebra and its applications, 436 (2012) 9, p. 2980-3007

MIS-Preprint: 55/2010 DOI: 10.1016/j.laa.2011.09.010

Sergey Dolgov ; Boris N. Khoromskij and Dmitry V. Savostyanov: Superfast Fourier transform using QTT approximation

In: The journal of Fourier analysis and applications, 18 (2012) 5, p. 915-953

MIS-Preprint: 18/2011 DOI: 10.1007/s00041-012-9227-4

Lukas Döring ; Elias Esselborn ; Samuel Ferraz-Leite and Felix Otto: Domain configurations in soft ferromagnetic films under external field

In: Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, February 15 - 17, 2012

Vienna : International Federation of Automatic Control, 2012. - P. 498-503

MIS-Preprint: 3/2012 DOI: 10.3182/20120215-3-AT-3016.00087

Elio Eduardo Espejo Arenas ; Angela Stevens and Takashi Suzuki: Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species

In: Differential and integral equations, 25 (2012) 3/4, p. 251-288

MIS-Preprint: 64/2011 LINK: http://projecteuclid.org/euclid.die/1356012736

Mike Espig ; Kishore Kumar Naraparaju and Jan Schneider: A note on tensor chain approximation

In: Computing and visualization in science, 15 (2012) 6, p. 331-344

MIS-Preprint: 16/2012 DOI: 10.1007/s00791-014-0218-7

Samuel Ferraz-Leite ; Jens Markus Melenk and Dirk Praetorius: Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics

In: Numerische Mathematik, 122 (2012) 1, p. 101-131

MIS-Preprint: 55/2011 DOI: 10.1007/s00211-012-0454-z

Robert Finn ; John McCuan and Henry C. Wente: Thomas Young's surface tension diagram : its history, legacy, and irreconcilabilities

In: Journal of mathematical fluid mechanics, 14 (2012) 3, p. 445-453

MIS-Preprint: 71/2010 DOI: 10.1007/s00021-011-0079-5

Antoine Gloria and Felix Otto: An optimal error estimate in stochastic homogenization of discrete elliptic equations

In: The annals of applied probability, 22 (2012) 1, p. 1-28

MIS-Preprint: 28/2010 DOI: 10.1214/10-AAP745 ARXIV: https://arxiv.org/abs/1203.0908

Manuel V. Gnann and Thomas Voigtmann: Asymptotic analysis of mode-coupling theory of active nonlinear microrheology

In: Physical review / E, 86 (2012) 1, 011406

MIS-Preprint: 22/2012 DOI: 10.1103/PhysRevE.86.011406 ARXIV: http://arxiv.org/abs/1204.2407

Amiran Gogatishvili ; Lubos Pick and Jan Schneider: Characterization of a rearrangement-invariant hull of a Besov space via interpolation

In: Revista matematica complutense, 25 (2012) 1, p. 267-283

DOI: 10.1007/s13163-011-0067-6

Venera Khoromskaia ; Dirk Andrae and Boris N. Khoromskij: Fast and accurate 3D tensor calculation of the Fock operator in a general basis

In: Computer physics communications, 183 (2012) 11, p. 2392-2404

MIS-Preprint: 4/2012 DOI: 10.1016/j.cpc.2012.06.007

Georgy Kitavtsev and Stephan Luckhaus: Twinned martensite configurations arising as ground states of a two-well discrete Hamiltonian

In: Proceedings in applied mathematics and mechanics, 12 (2012) 1, p. 15-18

DOI: 10.1002/pamm.201210005

Georgy Kitavtsev ; L. Recke and Barbara Wagner: Asymptotics for the spectrum of a thin film equation in a singular limit

In: SIAM journal on applied dynamical systems, 11 (2012) 4, p. 1425-1457

DOI: 10.1137/100813488 LINK: http://www.wias-berlin.de/preprint/1555/wias_preprints_1555.pdf

Chun-Chi Lin: \({L^2}\)-flow of elastic curves with clamped boundary conditions

In: Journal of differential equations, 252 (2012) 12, p. 6414-6428

DOI: 10.1016/j.jde.2012.03.010

Philippe Logaritsch and Emanuele Spadaro: A representation formula for the p-energy of metric space-valued Sobolev maps

In: Communications in contemporary mathematics, 14 (2012) 6, 1250043

MIS-Preprint: 77/2011 DOI: 10.1142/S0219199712500435 ARXIV: http://arxiv.org/abs/1112.0122

Stephan Luckhaus ; Yoshie Sugiyama and Juan J. L. Velázquez: Measure valued solutions of the 2D Keller-Segel system

In: Archive for rational mechanics and analysis, 206 (2012) 1, p. 31-80

DOI: 10.1007/s00205-012-0549-9 ARXIV: https://arxiv.org/abs/1011.0282

Kishore Kumar Naraparaju and G. Naga Raju: Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces

In: Journal of scientific computing, 53 (2012) 2, p. 295-319

MIS-Preprint: 34/2010 DOI: 10.1007/s10915-011-9572-5

Stefan Neukamm: Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from three-dimensional elasticity

In: Archive for rational mechanics and analysis, 206 (2012) 2, p. 645-706

MIS-Preprint: 74/2011 DOI: 10.1007/s00205-012-0539-y

Robin Nittka: Projections onto convex sets and \(L^p\)-quasi-contractivity of semigroups

In: Archiv der Mathematik, 98 (2012) 4, p. 341-353

DOI: 10.1007/s00013-012-0374-2

Robin Nittka: A note on the implicit function theorem for quasi-linear eigenvalue problems

In: Nonlinear analysis / A, 75 (2012) 5, p. 2806-2811

DOI: 10.1016/j.na.2011.11.023 ARXIV: https://arxiv.org/abs/1109.5089

Ivan V. Oseledets and Sergey Dolgov: Solution of linear systems and matrix inversion in the TT-format

In: SIAM journal on scientific computing, 34 (2012) 5, p. A2718-A2739

MIS-Preprint: 19/2011 DOI: 10.1137/110833142

André Schlichting: The Eyring-Kramers formula for Poincaré and logoarithmic Sobolev inequalities

Dissertation, Universität Leipzig, 2012

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-97965

Anja Schlömerkemper: On a discrete-to-continuum limit involving multiple scales and its application to magnetic forces

Hartmut R. Schwetlick and Chun-Chi Lin: \({L^2}\)-flow of elastic curves with knot points and clamped ends

MIS-Preprint: 54/2012

Emanuele Spadaro: Nondoubling \(A_{\infty} \) weights

In: Advances in calculus of variations, 5 (2012) 3, p. 345-354

DOI: 10.1515/acv.2011.019 LINK: http://personal-homepages.mis.mpg.de/spadaro/art9.pdf

Emanuele Spadaro: Mean-convex sets and minimal barriers

MIS-Preprint: 2/2012 ARXIV: http://arxiv.org/abs/1112.4288

Angela Stevens and Juan J. L. Velázquez: Asymptotic analysis of a chemotaxis system with non-diffusive memory

MIS-Preprint: 20/2012

John Andersson and Hayk Mikayelyan: \(C^{1,\alpha}\) regularity for solutions to the \(p\)-harmonic thin obstacle problem

In: International mathematics research notices, 2011 (2011) 1, p. 119-134

MIS-Preprint: 120/2006 DOI: 10.1093/imrn/rnq061

Markus Aurada ; Michael Ebner ; Michael Feischl ; Samuel Ferraz-Leite ; Petra Goldenits ; Michael Karkulik ; Markus Mayr and Dirk Praetorius (eds.): HILBERT : a Matlab implementation of adaptive 2D-BEM

Wien : Institute of Analysis and Scientific Computing; Vienna University of Technology, 2011. - 28 p.

(ASC Report ; 24/2011)

ISBN 978-3-902627-04-9

LINK: http://www.asc.tuwien.ac.at/preprint/2011/asc24x2011.pdf

Thomas Blesgen and Isaac Vikram Chenchiah: A generalized Cahn-Hilliard equation incorporating geometrically linear elasticity

In: Interfaces and free boundaries, 13 (2011) 1, p. 1-27

DOI: 10.4171/IFB/246

Yann Brenier ; Felix Otto and Christian Seis: Upper bounds on coarsening rates in demixing binary viscous liquids

In: SIAM journal on mathematical analysis, 43 (2011) 1, p. 114-134

DOI: 10.1137/090775142

D. Chakraborty ; Manuel V. Gnann ; D. Rings ; J. Glaser ; Felix Otto ; Frank Cichos and Klaus Kroy: Generalised Einstein relation for hot Brownian motion

In: epl, 96 (2011) 6, 60009

DOI: 10.1209/0295-5075/96/60009 ARXIV: http://arxiv.org/abs/1110.3734

Eleonora Cinti: Interpolation inequalities in pattern formation

In: Bruno Pini mathematical analysis seminar, 2 (2011) 1, p. 1-18

LINK: http://mathematicalanalysis.unibo.it/article/view/2666

Patrick W. Dondl ; Luca Mugnai and Matthias Röger: Confined elastic curves

In: SIAM journal on applied mathematics, 71 (2011) 6, p. 2205-2226

DOI: 10.1137/100805339

Lukas Döring ; Felix Otto and Jutta Steiner: Domänen- und Wandmuster in ferromagnetischen Filmen

In: Jahrbuch der Max-Planck-Gesellschaft, 2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften

LINK: http://www.mpg.de/1262200/Ferromagnetische_Filme

Selim Esedoglu and Felix Otto: Threshold dynamics for arbitrary surface tensions [In: Geometric partial differential equations : theory, numerics and applications ; November 27th - December 3rd, 2011 ; report no. 54/2011]

In: Oberwolfach reports, 8 (2011) 4, p. 3138-3140

DOI: 10.4171/OWR/2011/54 LINK: https://publications.mfo.de/handle/mfo/3269

Robert Finn: Criteria for floating I

In: Journal of mathematical fluid mechanics, 13 (2011) 1, p. 103-115

MIS-Preprint: 104/2007 DOI: 10.1007/s00021-009-0009-y

Fernando Fraternali ; Thomas Blesgen ; A. Amendola and C. Daraio: Multiscale mass-spring models of carbon nanotube foams

In: Journal of the mechanics and physics of solids, 59 (2011) 1, p. 89-102

DOI: 10.1016/j.jmps.2010.09.004

Antoine Gloria and Stefan Neukamm: Commutability of homogenization and linearization at identity in finite elasticity and applications

In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 6, p. 941-964

MIS-Preprint: 73/2010 DOI: 10.1016/j.anihpc.2011.07.002

Antoine Gloria and Felix Otto: An optimal variance estimate in stochastic homogenization of discrete elliptic equations

In: The annals of probability, 39 (2011) 3, p. 779-856

DOI: 10.1214/10-AOP571 ARXIV: https://arxiv.org/abs/1104.1291

Hyung Ju Hwang ; Alan D. Rendall and Juan J. L. Velázquez: Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data

In: Archive for rational mechanics and analysis, 200 (2011) 1, p. 313-360

MIS-Preprint: 9/2007 DOI: 10.1007/s00205-011-0405-3 ARXIV: http://arxiv.org/abs/math/0606389

Radu Ignat and Felix Otto: A compactness result for Landau state in thin-film micromagnetics

In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 2, p. 247-282

MIS-Preprint: 52/2010 DOI: 10.1016/j.anihpc.2011.01.001 ARXIV: https://arxiv.org/abs/1009.1649

Venera Khoromskaia ; Boris N. Khoromskij and Reinhold Schneider: QTT representation of the Hartree and exchange operators in electronic structure calculations

In: Computational methods in applied mathematics, 11 (2011) 3, p. 327-341

MIS-Preprint: 37/2011 DOI: 10.2478/cmam-2011-0018

Boris N. Khoromskij ; Venera Khoromskaia and Heinz-Jürgen Flad: Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format

In: SIAM journal on scientific computing, 33 (2011) 1, p. 45-65

MIS-Preprint: 44/2009 DOI: 10.1137/090777372

Georgy Kitavtsev ; Philippe Laurencot and Barbara Niethammer: Weak solutions to lubrication equations in the presence of strong slippage

In: Methods and applications of analysis, 18 (2011) 2, p. 183-202

MIS-Preprint: 66/2010 DOI: 10.4310/MAA.2011.v18.n2.a4 ARXIV: https://arxiv.org/abs/1012.0687

Georgy Kitavtsev ; L. Recke and Barbara Wagner: Centre manifold reduction approach for the lubrication equation

In: Nonlinearity, 24 (2011) 8, p. 2347-2369

DOI: 10.1088/0951-7715/24/8/010

Marta Lewicka and Stefan Müller: The uniform Korn-Poincaré inequality in thin domains

In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 3, p. 443-469

MIS-Preprint: 102/2007 DOI: 10.1016/j.anihpc.2011.03.003

Robert Manning ; Steven Collicott and Robert Finn: Occlusion criteria in tubes under transverse body forces

In: Journal of fluid mechanics, 682 (2011), p. 397-414

MIS-Preprint: 72/2010 DOI: 10.1017/jfm.2011.230

Georg Menz: Equilibrium dynamics of continuous unbounded spin systems

Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2011

LINK: http://hss.ulb.uni-bonn.de/2011/2533/2533.htm

Georg Menz: LSI for Kawasaki dynamics with weak interaction

In: Communications in mathematical physics, 307 (2011) 3, p. 817-860

MIS-Preprint: 31/2010 DOI: 10.1007/s00220-011-1326-6

Alexander Mielke ; Felix Otto ; Giuseppe Savaré and Ulisse Stefanelli: Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011

In: Oberwolfach reports, 8 (2011) 4, p. 3145-3216

DOI: 10.4171/OWR/2011/55 LINK: https://publications.mfo.de/handle/mfo/3270

Luca Mugnai and Matthias Röger: Convergence of perturbed Allen-Cahn equations to forced mean curvature flow

In: Indiana University mathematics journal, 60 (2011) 1, p. 41-75

MIS-Preprint: 13/2009 DOI: 10.1512/iumj.2011.60.3949

Stefan Müller and Stefan Neukamm: On the commutability of homogenization and linearization in finite elasticity

In: Archive for rational mechanics and analysis, 201 (2011) 2, p. 465-500

DOI: 10.1007/s00205-011-0438-7

Kishore Kumar Naraparaju and Jan Schneider: Generalized cross approximation for 3d-tensors

In: Computing and visualization in science, 14 (2011) 3, p. 105-115

MIS-Preprint: 29/2010 DOI: 10.1007/s00791-011-0166-4

Pekka Neittaanmäki ; Sergey Repin and Jan Valdman: Functional a posteriori error estimates for elastic problems with nonlinear boundary conditions

MIS-Preprint: 13/2011

Felix Otto and Christian Seis: Rayleigh-Bénard convection : improved bounds on the Nusselt number

In: Journal of mathematical physics, 52 (2011) 8, 083702

MIS-Preprint: 6/2011 DOI: 10.1063/1.3623417

Lucia Scardia ; Anja Schlömerkemper and Chiara Zanini: Boundary layer energies for nonconvex discrete systems

In: Mathematical models and methods in applied sciences, 21 (2011) 4, p. 777-817

MIS-Preprint: 4/2009 DOI: 10.1142/S0218202511005210

Christian Seis: Scaling laws in two models for thermodynamically driven fluid flow

Dissertation, Universität Leipzig, 2011

LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-81228

Christian Seis ; Yann Brenier and Felix Otto: On the coarsening rates in demixing binary viscous liquids [In: Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011]

In: Oberwolfach reports, 8 (2011) 4, p. 3160-3162

DOI: 10.4171/OWR/2011/55 LINK: https://publications.mfo.de/handle/mfo/3270

Emanuele Spadaro and Camillo De Lellis: On Almgren's center manifold and regularity of minimal surfaces [In: Partial differential equations ; August 7th - August 13th, 2011 ; report no. 38/2011]

In: Oberwolfach reports, 8 (2011) 3, p. 2187-2188

DOI: 10.4171/OWR/2011/38 LINK: https://publications.mfo.de/handle/mfo/3253

Giovanni Bellettini and Luca Mugnai: Approximation of Helfrich's functional via diffuse interfaces

In: SIAM journal on mathematical analysis, 42 (2010) 6, p. 2402-2433

MIS-Preprint: 69/2009 DOI: 10.1137/09077549X

Kaushik Bhattacharya ; Dmitri Ioffe ; Stephan Luckhaus and Felix Otto: Phase transitions : May 30th - June 5th, 2010 ; report no. 24/2010

In: Oberwolfach reports, 7 (2010) 2, p. 1431-1484

DOI: 10.4171/OWR/2010/24

Kaushik Bhattacharya and Anja Schlömerkemper: Stress-induced phase transformations in shape-memory polycrystals

In: Archive for rational mechanics and analysis, 196 (2010) 3, p. 715-751

MIS-Preprint: 1/2009 DOI: 10.1007/s00205-009-0263-4

Thomas Blesgen and Anja Schlömerkemper: Towards diffuse interface models with a nonlinear polycrystalline elastic energy

In: Composite laminates : properties, performance and applications / Anders Doughett... (eds.)

New York : Nova Science Publishers, 2010. - P. 465-489

Thomas Blesgen and Anja Schlömerkemper: A counter example to weak maximum principles for locally vanishing elliptic operators

MIS-Preprint: 18/2010

Jérôme Coville ; Nicolas Dirr and Stephan Luckhaus: Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients

In: Networks and heterogeneous media, 5 (2010) 4, p. 745-763

DOI: 10.3934/nhm.2010.5.745 ARXIV: https://arxiv.org/abs/1106.5138

Nicolas Dirr ; Federica Dragoni and Max von Renesse: Evolution by mean curvature flow in sub-Riemannian geometries : a stochastic approach

In: Communications on pure and applied analysis, 9 (2010) 2, p. 307-326

MIS-Preprint: 69/2008 DOI: 10.3934/cpaa.2010.9.307

Elio Eduardo Espejo Arenas ; Angela Stevens and Juan J. L. Velázquez: A note on non-simultaneous blow-up for a drift-diffusion model

In: Differential and integral equations, 23 (2010) 5/6, p. 451-462

MIS-Preprint: 10/2009 LINK: http://projecteuclid.org/euclid.die/1356019306

Robert Finn: On Young's paradox, and the attractions of immersed parallel plates

In: Physics of fluids, 22 (2010) 1, 017103

MIS-Preprint: 74/2008 DOI: 10.1063/1.3276213

Robert Finn ; Abderrahim Quazzi and Stefan Turek: Maximum principle and gradient estimates for stationary solutions of the Navier-Stokes equations : a partly numerical investigation

In: Advances in mathematical fluid mechanics : dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday / Rolf Rannacher... (eds.)

Berlin [u. a.] : Springer, 2010. - P. 253-269

MIS-Preprint: 72/2008 DOI: 10.1007/978-3-642-04068-9 15

Wolfgang Hackbusch ; Kishore Kumar Naraparaju and Jan Schneider: On the efficient convolution with the Newton potential

In: Journal of numerical mathematics, 18 (2010) 4, p. 257-280

MIS-Preprint: 53/2009 DOI: 10.1515/JNUM.2010.013

Kyungkeun Kang ; Angela Stevens and Juan J. L. Velázquez: Qualitative behavior of a Keller-Segel model with non-diffusive memory

In: Communications in partial differential equations, 35 (2010) 2, p. 245-274

MIS-Preprint: 35/2008 DOI: 10.1080/03605300903473400

Venera Khoromskaia: Numerical solution of the Hartree-Fock equation by multilevel tensor-structured methods

Dissertation, Technische Universität Berlin, 2010

DOI: 10.14279/depositonce-2719

Venera Khoromskaia: Computation of the Hartree-Fock exchange by the tensor-structured methods

In: Computational methods in applied mathematics, 10 (2010) 2, p. 204-218

MIS-Preprint: 25/2009 DOI: 10.2478/cmam-2010-0012

Stephan Luckhaus and Luca Mugnai: On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations

In: Continuum mechanics and thermodynamics, 22 (2010) 4, p. 251-290

MIS-Preprint: 67/2009 DOI: 10.1007/s00161-010-0142-0

Kishore Kumar Naraparaju and G. Naga Raju: Least-squares hp/spectral element method for elliptic problems

In: Applied numerical mathematics, 60 (2010) 1/2, p. 38-54

MIS-Preprint: 35/2009 DOI: 10.1016/j.apnum.2009.08.008

Felix Otto and Georg Menz: Logarithmic Sobolev inequality for a conservative spin system with single-site potentials of arbitrary super-quadratic growth [In: Classical and quantum mechanical models of many-particle systems ; December 5th - December 11th, 2010 ; report no. 54/2010]

In: Oberwolfach reports, 7 (2010) 4, p. 3210-3212

DOI: 10.4171/OWR/2010/54

Christian Rieger and Barbara Zwicknagl: Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning

In: Advances in computational mathematics, 32 (2010) 1, p. 103-129

MIS-Preprint: 151/2006 DOI: 10.1007/s10444-008-9089-0

Jan Schneider: Error estimates for two-dimensional cross approximation

In: Journal of approximation theory, 162 (2010) 9, p. 1685-1700

MIS-Preprint: 5/2009 DOI: 10.1016/j.jat.2010.04.012

Dejan Slepčev ; Eva Eggeling ; Matt Elsey ; Karl Glasner ; Felix Otto ; Tobias Rump and Shlomo Taasan: Coarsening in energy-driven systems [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]

In: Oberwolfach reports, 7 (2010) 2, p. 1469-1471

DOI: 10.4171/OWR/2010/24

Phanish Suryanarayana ; Vikram Gavini ; Thomas Blesgen ; Kaushik Bhattacharya and Michael Ortiz: Non-periodic finite-element formulation of Kohn-Sham density functional theory

In: Journal of the mechanics and physics of solids, 58 (2010) 2, p. 256-280

DOI: 10.1016/j.jmps.2009.10.002

Maria G. Westdickenberg ; Natalie Grunewald ; Felix Otto and Cédric Villani: A functional analytic approach to logarithmic Sobolev inequalities and the hydrodynamic limit [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]

In: Oberwolfach reports, 7 (2010) 2, p. 1480-1480

DOI: 10.4171/OWR/2010/24

Lei Zhang ; Leonid V. Berlyand ; Maxim V. Fedorov and Houman Owhadi: Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates

In: Multiscale modeling and simulation, 8 (2010) 5, p. 1958-1980

DOI: 10.1137/090781619

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