Musterbildung, Energielandschaften und Skalierungsgesetze

Direktor:
Felix Otto

Kontakt: Email
Telefon:
+49 (0) 341 - 9959 - 950
Fax:
+49 (0) 341 - 9959 - 585

Anschrift:
Inselstr. 22
04103 Leipzig

Sekretariat:
Katja Heid
Email, Telefon:
+49 (0) 341 - 9959 - 951

Publikationen der Gruppen-Mitglieder

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 ; Cleophas Kweyu and Matthias Stein: Computing electrostatic potentials using regularization based on the range-separated tensor format

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

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

Khalil Chouk and Benjamin Gess: Path-by-path regularization by noise for scalar conservation laws
In: Journal of functional analysis, Vol. not yet known, pp. not yet known
DOI: 10.1016/j.jfa.2019.06.005 ARXIV: https://arxiv.org/abs/1708.00823

Olga Chugreeva ; Felix Otto and Maria G. Westdickenberg: Optimal 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

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

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

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

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

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

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

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

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

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, Vol. not yet known, pp. not yet known
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, Vol. not yet known, pp. not yet known
MIS-Preprint: 102/2018 DOI: 10.1080/03605302.2019.1610892 LINK: https://hal.archives-ouvertes.fr/hal-01946297

Gunnar Kaib ; Kyungkeun Kang and Angela Stevens: Global minimizers for anisotropic attractive-repulsive interactions
In: European journal of applied mathematics, Vol. not yet known, pp. not yet known
MIS-Preprint: 32/2019

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

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

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

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

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

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

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

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

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

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

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, Vol. not yet known, pp. not yet known
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, Vol. not yet known, pp. not yet known
DOI: 10.1016/j.jfa.2019.05.026 ARXIV: https://arxiv.org/abs/1809.04480

Stefano Steffenoni: Active Brownian dynamics
Dissertation, Univeristät Leipzig, 2019

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

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

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

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

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

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

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

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

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

Konstantinos Dareiotis and Benjamin Gess: Supremum estimates for degenerate, quasilinear stochastic partial differential equations
In: Annales de l'Institut Henri Poincaré / B, Vol. not yet known, pp. not yet known
ARXIV: https://arxiv.org/abs/1712.06655

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

Joscha Diehl and Jeremy Reizenstein: Invariants of multidimensional time series based on their iterated-integral signature
In: Acta applicandae mathematicae, Vol. not yet known, pp. not yet known
DOI: 10.1007/s10440-018-00227-z ARXIV: https://arxiv.org/abs/1801.06104

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

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

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

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

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

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

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

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

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

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

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

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

Gennadij Heidel ; Venera Khoromskaia ; Boris N. Khoromskij and Volker Schulz: Tensor approach to optimal control problems with fractional d-dimensional elliptic operator in constraints

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

Venera Khoromskaia and Boris N. Khoromskij: Tensor numerical methods in quantum chemistry
Berlin : De Gruyter, 2018. - VIII, 289 p.
ISBN 978-3-11-036583-2 ISBN 978-3-11-037015-7
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

Tim Bastian Laux and Aaron Yip: Analysis of thresholding for codimension two motion by mean curvature : a gradient-flow approach

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

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, Vol. not yet known, pp. not yet known
ARXIV: http://de.arxiv.org/abs/1704.08653

Ulrich Menne: Pointwise differentiability of higher order for distributions

Ulrich Menne: Pointwise differentiability of higher order for sets

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

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

Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg: Optimal L1-type relaxation rates for the Cahn-Hilliard equation on the line

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

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

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

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

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

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

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

Dominic Breit ; Lars Diening and Franz Gmeineder: Traces of functions of bounded A-variation and variational problems with linear growth

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

Maria Colombo and Luca Spolaor: Quantitative estimate on singularities in isoperimetric clusters
In: Communications in analysis and geometry, Vol. not yet known, pp. not yet known
ARXIV: https://arxiv.org/abs/1609.08597

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

Camillo De Lellis ; Andrea Marchese ; Emanuele Spadaro and Daniele Valtorta: Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps

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: http://de.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

Benjamin Gess: Sobolev regularity for the porous medium equation with a force

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

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 Scott A. Smith: Stochastic continuity equations with conservative noise
In: Journal de mathématiques pures et appliquées, Vol. not yet known, pp. not yet known
ARXIV: https://arxiv.org/abs/1710.04906

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

Benjamin Gess and Panagiotis E. Souganidis: Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws
In: Communications on pure and applied mathematics, 70 (2017) 8, p. 1562-1597
DOI: 10.1002/cpa.21646 ARXIV: http://arxiv.org/abs/1411.3939

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

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

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

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

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 Felix Otto: Brakke's inequality for the thresholding scheme

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

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 ; 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

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

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

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

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

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

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

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: 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

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

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

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

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

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

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

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

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 ; Benoit 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

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

Yu Gu ; Arianna Giunti and Jean-Christophe Mourrat: Heat kernel upper bounds for interacting particle systems
In: The annals of probability, Vol. not yet known, pp. not yet known
MIS-Preprint: 60/2016 ARXIV: http://arxiv.org/abs/1609.02527

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

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: 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

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

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

Giorgio Patrini ; Frank Nielsen ; Richard Nock and Marcello Carioni: Loss factorization, weakly supervised learning and label noise robustness
In: Proceedings of machine learning research, 48 (2016), p. 708-717
ARXIV: http://arxiv.org/abs/1602.02450

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

Luca Spolaor: Almgren's type regularity for semicalibrated currents

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

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

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: http://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

Lukas Döring ; Radu Ignat and Felix Otto: Crossover from symmetric to asymmetric transition layers

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: 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: 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

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

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

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

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 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

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

Eris Runa: Sobolev and SBV representation theorems for large volume limit Gibbs measures

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: Oberwolfach reports, 11 (2014) 3, p. 1809-1815
DOI: 10.4171/OWR/2014/33 ARXIV: https://arxiv.org/abs/1404.6243

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

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 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

Sergey Dolgov ; Boris N. Khoromskij ; Alexander Litvinenko and Hermann G. Matthies: Computation of the response surface in the tensor train data format
In: SIAM / ASA Journal on uncertainty quantification, Vol. not yet known, pp. not yet known
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

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

Gianmaria Falasco ; Manuel V. Gnann and Klaus Kroy: Non-isothermal fluctuation-dissipation relations and Brownian thermometry

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

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

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

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

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: M\(\oslash\)ller-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: 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: Tensor numerical approach to linearized Hartree-Fock equation for lattice-type and periodic systems

Venera Khoromskaia and Boris N. Khoromskij: Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects

Venera Khoromskaia and Boris N. Khoromskij: Tensor approach to linearized Hartree-Fock equation for lattice-type and periodic systems

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: 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

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

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

Robin Nittka: Inhomogeneous parabolic Neumann problems
In: Czechoslovak mathematical journal, 64 (2014) 3, p. 703-742
DOI: 10.1007/s10587-014-0127-4 ARXIV: http://de.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

Stefan Adams: Large deviations for stochastic processes

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

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

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

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

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

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: One-site density matrix renormalizatin group and alternating minimum energy algorithm

Sergey Dolgov and Dmitry V. Savostyanov: Alternating minimal energy methods for linear systems in higher dimensions. Pt. 1 : SPD systems

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

Matt Elsey and Benedikt Wirth: Fast automated detection of crystal distortion and crystal defects in polycrystal images

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: 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

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

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: http://de.arxiv.org/abs/1104.5125

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

Ivano Primi ; Angela Stevens and Juan J. L. Velazquez: 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

Christian Seis: Laminar boundary layers in convective heat transport
In: Communications in mathematical sciences, 324 (2013) 3, p. 995-1031
MIS-Preprint: 63/2012 DOI: 10.1007/s00220-013-1826-7 ARXIV: https://arxiv.org/abs/1212.2940

Igor Velčić: On the general homogenization and gamma-closure for the equations of von Kármán plate from 3D nonlinear elasticity

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
In: IMA journal of numerical analysis, Vol. not yet known, pp. not yet known
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: http://de.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: L2-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

Stephan Luckhaus ; Y. Sugiyama and Juan J. L. Velazquez: 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

Georg Menz and André Schlichting: Spectral gap estimates at low temperature by decomposition of the energy landscape

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: 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: http://de.arxiv.org/abs/1109.5089

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

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: L2-flow of elastic curves with knot points and clamped ends
MIS-Preprint: 54/2012

Angela Stevens and Juan J. L. Velazquez: Asymptotic analysis of a chemotaxis system with non-diffusive memory
In: European journal of applied mathematics, Vol. not yet known, pp. not yet known
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

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 LINK: http://webdoc.sub.gwdg.de/ebook/serien/e/sfb611/448.pdf

Hyung Ju Hwang ; Alan D. Rendall and Juan J. L. Velazquez: 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

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

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

Herbert Koch and Tristan Buckmaster: The Korteweg-de-Vries equation at \(H^{-1}\) regularity

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

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

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 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

Jerome 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. Velazquez: 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. Velazquez: 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

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 / Kaushik Bhattacharya... (eds.)
Zürich : EMS, 2010. - P. 1469-1471
(Oberwolfach reports ; 7,2)
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 / Kaushik Bhattacharya... (eds.)
Zürich : EMS, 2010. - P. 1480-1480
(Oberwolfach reports ; 7,2)
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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