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Pattern Formation, Energy Landscapes and Scaling Laws - Publications

Explore the scholarly works of the "Pattern Formation, Energy Landscapes and Scaling Laws" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.


inJournal
2025 Repository Open Access
Amit Acharya

A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity

In: Mathematics and mechanics of solids, 30 (2025) 3, pp. 701-719
inJournal
2025 Repository Open Access
Kweyu Cleophas, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein and Peter Benner

Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format

In: SIAM journal on scientific computing, 47 (2025) 1, B87-B107
inJournal
2025 Repository Open Access
Paweł Duch

Renormalization of singular elliptic stochastic PDEs using flow equation

In: Probability and mathematical physics, 6 (2025) 1, pp. 111-138
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2025 Repository Open Access
Francisco Gancedo, Rafael Granero-Belinchón and Elena Salguero

On the global well-posedness of interface dynamics for gravity Stokes flow

In: Journal of differential equations, 428 (2025), pp. 654-687
inJournal
2025 Journal Open Access
Florian Kunick and Pavlos Tsatsoulis

Gradient-type estimates for the dynamic \(\varphi^4_2\)-model

In: Stochastic processes and their applications, 181 (2025), p. 104548
inJournal
2025 Repository Open Access
Felix Otto, Jonas Sauer, Scott A. Smith and Hendrik Weber

A priori bounds for quasi-linear SPDEs in the full sub-critical regime

In: Journal of the European Mathematical Society, 27 (2025) 1, pp. 71-118
inJournal
2025 Journal Open Access
Felix Otto, Richard Schubert and Maria G. Westdickenberg

Convergence to the planar interface for a nonlocal free-boundary evolution

In: Communications on pure and applied mathematics, 78 (2025) 1, pp. 161-208
inJournal
2025 Repository Open Access
Tristan Robert, Kihoon Seong, Leonardo Tolomeo and Yuzhao Wang

Focusing Gibbs measures with harmonic potential

In: Annales de l'Institut Henri Poincaré / B : Probabilites et statistiques, 61 (2025) 1, pp. 571-598
inJournal
2024 Repository Open Access
Yvonne Alama Bronsard, Yvain Bruned and Katharina Schratz

Approximations of dispersive PDEs in the presence of low-regularity randomness

In: Foundations of computational mathematics, 24 (2024) 6, pp. 1819-1869
inJournal
2024 Repository Open Access
Lucas Broux, Francesco Caravenna and Lorenzo Zambotti

Hairer's multilevel Schauder estimates without regularity structures

In: Transactions of the American Mathematical Society, 377 (2024) 10, pp. 6981-7035
Preprint
2024 Repository Open Access
Lucas Broux, Felix Otto and Markus Tempelmayr

Lecture notes on Malliavin calculus in regularity structures

inJournal
2024 Repository Open Access
Yvain Bruned and Usama Nadeem

Convergence of space-discretised gKPZ via regularity structures

In: The annals of applied probability, 34 (2024) 2, pp. 2488-2538
inJournal
2024 Repository Open Access
Yvain Bruned and Usama Nadeem

Diagram-free approach for convergence of trees based model in regularity structures

In: Journal of the Mathematical Society of Japan, 76 (2024) 4, pp. 1139-1169
inJournal
2024 Repository Open Access
Dorin Bucur, Antonin Chambolle, Alessandro Giacomini and Mickaël Nahon

A free discontinuity approach to optimal profiles in Stokes flows

In: Annales de l'Institut Henri Poincaré / C, (2024)
inJournal
2024 Journal Open Access
Nicolas Clozeau and Francesco Mattesini

Annealed quantitative estimates for the quadratic 2D-discrete random matching problem

In: Probability theory and related fields, 190 (2024) 1/2, pp. 485-541
inJournal
2024 Journal Open Access
Nicolas Clozeau, Marc Josien, Felix Otto and Qiang Xu

Bias in the representative volume element method : periodize the ensemble instead of its realizations

In: Foundations of computational mathematics, 24 (2024) 4, pp. 1305-1387
inJournal
2024 Journal Open Access
Deniz Dizdar, Georg Menz, Felix Otto and Tianqi Wu

The quantitative hydrodynamic limit of the Kawasaki dynamics

In: Electronic journal of probability, 29 (2024), p. 192
inJournal
2024 Journal Open Access
Antonio Esposito, Rishabh S. Gvalani, André Schlichting and Markus Schmidtchen

On a novel gradient flow structure for the aggregation equation

In: Calculus of variations and partial differential equations, 63 (2024) 5, p. 126
Preprint
2024 Repository Open Access
Matthew Hernandez, Neel Patel and Elena Salguero

Bounds on the aspect ratio of the momentum support of a 2D collisionless plasma

inJournal
2024 Journal Open Access
Martin Huesmann, Francesco Mattesini and Felix Otto

There is no stationary \(p\)-cyclically monotone Poisson matching in 2D

In: Electronic journal of probability, 29 (2024), p. 106
inJournal
2024 Repository Open Access
Marc Josien, Claudia Raithel and Mathias Schäffner

Stochastic homogenization and geometric singularities : a study on corners

In: SIAM journal on mathematical analysis, 56 (2024) 2, pp. 2395-2455
inJournal
2024 Repository Open Access
Konstantin Kalinin, Govind Menon and Bian Wu

Scale invariant bounds for mixing in the Rayleigh-Taylor instability

In: SIAM journal on mathematical analysis, 56 (2024) 6, pp. 7846-7865
inJournal
2024 Journal Open Access
Lukas Koch

Geometric linearisation for optimal transport with strongly p-convex cost

In: Calculus of variations and partial differential equations, 63 (2024) 4, p. 87
inJournal
2024 Journal Open Access
Lukas Koch and Jan Kristensen

Quantified legendreness and the regularity of minima

In: Archive for rational mechanics and analysis, 248 (2024) 4, p. 69
Preprint
2024 Repository Open Access
Sefika Kuzgun and Ran Tao

Time-dependent averages of a critical long-range stochastic heat equation

Preprint
2024 Repository Open Access
Tim Bastian Laux and Anton Ullrich

Median filter method for mean curvature flow using a random Jacobi algorithm

inJournal
2024 Journal Open Access
Pablo Linares, Felix Otto, Markus Tempelmayr and Pavlos Tsatsoulis

A diagram-free approach to the stochastic estimates in regularity structures

In: Inventiones mathematicae, 237 (2024) 3, pp. 1469-1565
inJournal
2024 Repository Open Access
Jianfeng Lu, Felix Otto and Lihan Wang

Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media

In: Communications in partial differential equations, 49 (2024) 7/8, pp. 609-670
Academic
2024
Francesco Mattesini

A variational approach to the optimal matching problem

Dissertation, Universität Münster, 2024
Preprint
2024 Repository Open Access
Peter S. Morfe

Comparison principles for the Finsler infinity Laplacian with applications to minimal Lipschitz extensions

inJournal
2024 Journal Open Access
Yorgo Pano and Majdouline Borji

Distributional celestial amplitudes

In: Journal of high energy physics, 2024 (2024) 7, p. 120
inJournal
2024 Repository Open Access
Kihoon Seong

Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system

In: Journal of functional analysis, 286 (2024) 4, p. 110244
inJournal
2024 Journal Open Access
Anton Ullrich and Tim Bastian Laux

Generic level sets in mean curvature flow are BV solutions

In: The journal of geometric analysis, 34 (2024) 12, p. 375
inJournal
2023 Repository Open Access
Luigi Ambrosio, Aymeric Baradat and Yann Brenier

Monge-Ampère gravitation as a \(\Gamma\)-limit of good rate functions

In: Analysis and PDE, 16 (2023) 9, pp. 2005-2040
inJournal
2023 Journal Open Access
Lucas Broux, Francesco Caravenna and Lorenzo Zambotti

An example of singular elliptic stochastic PDE

In: Matemática contemporÒanea, 58 (2023), pp. 3-67
Preprint
2023 Repository Open Access
Yvain Bruned

Composition and substitution of regularity structures B-series

inJournal
2023 Journal Open Access
Yvain Bruned and Foivos Katsetsiadis

Post-Lie algebras in regularity structures

In: Forum of mathematics / Sigma, 11 (2023), e98
inJournal
2023 Repository Open Access
Georgiana Chatzigeorgiou

Locality properties of standard homogenization commutator

In: Asymptotic analysis, 132 (2023) 3/4, pp. 409-426
Preprint
2023 Repository Open Access
Nicolas Clozeau and Lihan Wang

Artificial boundary conditions for random ellitpic systems with correlated coefficient field

inJournal
2023 Repository Open Access
Ophélie Cuvillier, Francesco Fanelli and Elena Salguero

Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces

In: Journal of evolution equations, 23 (2023) 4, p. 68
inJournal
2023 Repository Open Access
William M. Feldman and Peter S. Morfe

The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media

In: Interfaces and free boundaries, 25 (2023) 4, pp. 567-631
inJournal
2023 Journal Open Access
Max Goering and Lukas Koch

A note on improved differentiability for the Banach-space valued Finsler \(\mathscr {y}\)-Laplacian

In: Comptes rendus mathematique, 361 (2023), pp. 1091-1105
Preprint
2023 Repository Open Access
Michael Goldman, Martin Huesmann and Felix Otto

Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem

inJournal
2023 Journal Open Access
André Guerra, Lukas Koch and Sauli Lindberg

Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

In: Advances in mathematics, 415 (2023), p. 108869
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2023 Journal Open Access
Felipe Hermandez, Bogdan Raiţă and Daniel Spector

Endpoint \(L^1\) estimates for Hodge systems

In: Mathematische Annalen, 385 (2023) 3/4, pp. 1923-1946
inJournal
2023 Journal Open Access
Martin Huesmann, Francesco Mattesini and Felix Otto

There is no stationary cyclically monotone Poisson matching in 2d

In: Probability theory and related fields, 187 (2023) 3/4, pp. 629-656
inJournal
2023 Repository Open Access
Martin Huesmann, Francesco Mattesini and Dario Trevisan

Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus

In: Stochastic processes and their applications, 155 (2023), pp. 1-26
inJournal
2023 Journal Open Access
Christopher Irving and Lukas Koch

Boundary regularity results for minimisers of convex functionals with \((p,q)\)-growth

In: Advances in nonlinear analysis, 12 (2023) 1, p. 20230110
inJournal
2023 Repository Open Access
Marc Josien

Stochastic homogenization : a short proof of the annealed Calderón-Zygmund estimate

In: Journal of elliptic and parabolic equations, 9 (2023) 1, pp. 125-154
Preprint
2023 Repository Open Access
Lukas Koch and Felix Otto

Lecture notes on the harmonic approximation to quadratic optimal transport

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2023 Journal Open Access
Yulong Lu, Dejan Slepčev and Lihan Wang

Birth-death dynamics for sampling : global convergence, approximations and their asymptotics

In: Nonlinearity, 36 (2023) 11, p. 5731
inJournal
2023 Repository Open Access
Peter S. Morfe and Panagiotis E. Souganidis

Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms

In: Journal of functional analysis, 285 (2023) 4, p. 109983
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2023 Journal Open Access
Massimiliano Morini, Cyrill B. Muratov, Matteo Novaga and Valeriy Slastikov

Transverse domain walls in thin ferromagnetic strips

In: Archive for rational mechanics and analysis, 247 (2023) 3, p. 59
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2023 Journal Open Access
Nicolas Perkowski and Willem Van Zuijlen

Quantitative heat-kernel estimates for diffusions with distributional drift

In: Potential analysis, 59 (2023) 2, pp. 731-752
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2023 Journal Open Access
Bogdan Raiţă, Daniel Spector and Dmitriy Stolyarov

A trace inequality for solenoidal charges

In: Potential analysis, 59 (2023) 4, pp. 2093-2104
Preprint
2022 Repository Open Access
Yvonne Alama Bronsard, Yvain Bruned and Katharina Schratz

Low regularity integrators via decorated trees

Preprint
2022 Repository Open Access
Georgiana Chatzigeorgiou, Peter S. Morfe, Felix Otto and Lihan Wang

The Gaussian free-field as a stream function : asymptotics of effective diffusivity in infra-red cut-off

inJournal
2022 Repository Open Access
Giovanni Di Fratta, Antonin Monteil and Valeriy Slastikov

Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization

In: SIAM journal on mathematical analysis, 54 (2022) 3, pp. 3636-3653
inJournal
2022 Journal Open Access
André Guerra and Bogdan Raiţă

Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints

In: Archive for rational mechanics and analysis, 245 (2022) 1, pp. 279-320
inJournal
2022 Journal Open Access
Jonas Hirsch and Konstantinos Zemas

A note on a rigidity estimate for degree \(\pm 1\) conformal maps on \(\mathbb{S}^2\)

In: The bulletin of the London Mathematical Society, 54 (2022) 1, pp. 256-263
inJournal
2022 Repository Open Access
Marc Josien and Felix Otto

The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization

In: Journal of functional analysis, 283 (2022) 7, p. 109594
inJournal
2022 Journal Open Access
Lukas Koch

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth

In: Calculus of variations and partial differential equations, 61 (2022) 3, p. 88
Preprint
2022 Repository Open Access
Lukas Koch

On global absence of Lavrentiev gap for functionals with (p,q)-growth

Preprint
2022 Repository Open Access
Lukas Koch and Jan Kristensen

On the validity of the Euler-Lagrange system without growth assumptions

inJournal
2022 Journal Open Access
Lukas Koch

Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications

In: Nonlinear differential equations and applications, 29 (2022) 6, p. 75
inJournal
2022 Repository Open Access
Wolfgang König, Nicolas Perkowski and Willem Van Zuijlen

Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential

In: Annales de l'Institut Henri Poincaré / B, 58 (2022) 3, pp. 1351-1384
inJournal
2022 Journal Open Access
Jan Kristensen and Bogdan Raiţă

Oscillation and concentration in sequences of PDE constrained measures

In: Archive for rational mechanics and analysis, 246 (2022) 2/3, pp. 823-875
Academic
2022 Repository Open Access
Jules Pertinand

Effective properties of random media : expansions in dilute regimes

Dissertation, Sorbonne Université Laboratoire Jacques-Louis Lions, 2022
Academic
2022 Repository Open Access
Daniel Schliewe

BPX-Type preconditioners and convergence estimates for strictly quasiconvex functionals

Dissertation, Universität Leipzig, 2022
inJournal
2021 Repository Open Access
Luigi Ambrosio, Aymeric Baradat and Yann Brenier

\(\Gamma\)-convergence for a class of action functionals induced by gradients of convex functions

In: Rendiconti lincei : matematica e applicazioni, serie 9, 32 (2021) 1, pp. 97-108
Academic
2021 Repository Open Access
Nicolas Clozeau

Quantitative estimates in stochastic homogenization of elliptic equations and systems

Dissertation, Sorbonne Université Laboratoire Jacques-Louis Lions, 2021
inJournal
2021 Journal Open Access
Yu Deng and Christian Zillinger

Echo chains as a linear mechanism : norm inflation, modified exponents and asymptotics

In: Archive for rational mechanics and analysis, 242 (2021) 1, pp. 643-700
inJournal
2021 Repository Open Access
Jean-Dominique Deuschel, Tal Orenshtein and Nicolas Perkowski

Additive functionals as rough paths

In: The annals of probability, 49 (2021) 3, pp. 1450-1479
Preprint
2021 Repository Open Access
Giovanni Di Fratta, Alberto Fiorenza and Valeriy Slastikov

On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces

Preprint
2021 Repository Open Access
Paweł Duch

Flow equation approach to singular stochastic PDEs

inJournal
2021 Repository Open Access
Paweł Duch

Infrared problem in perturbative quantum field theory

In: Reviews in mathematical physics, 33 (2021) 10, p. 2150032
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2021 Repository Open Access
Franz Gmeineder, Bogdan Raiţă and Jean Van Schaftinger

On limiting trace inequalities for vectorial differential operators

In: Indiana University mathematics journal, 70 (2021) 5, pp. 2133-2176
inJournal
2021 Repository Open Access
Michael Goldman, Martin Huesmann and Felix Otto

Quantitative linearization results for the Monge-Ampère equation

In: Communications on pure and applied mathematics, 74 (2021) 12, pp. 2483-2560
inJournal
2021 Repository Open Access
Jianfeng Lu and Felix Otto

Optimal artificial boundary condition for random elliptic media

In: Foundations of computational mathematics, 21 (2021) 6, pp. 1643-1702
inJournal
2021 Repository Open Access
Ulrich Menne

Pointwise differentiability of higher-order for distributions

In: Analysis and PDE, 14 (2021) 2, pp. 323-354
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2021 Repository Open Access
Tatsuya Miura and Felix Otto

Sharp boundary \(\varepsilon\)-regularity of optimal transport maps

In: Advances in mathematics, 381 (2021), p. 107603
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2021 Journal Open Access
Felix Otto, Maxime Prod'homme and Tobias Ried

Variational approach to regularity of optimal transport maps : general cost functions

In: Annals of PDE, 7 (2021) 2, p. 17
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2021 Repository Open Access
Nicolas Perkowski and Tommaso Cornelis Rosati

A rough super-Brownian motion

In: The annals of probability, 49 (2021) 2, pp. 908-943
Academic
2021 Repository Open Access
Maxime Prod'homme

Contributions au problème du transport optimal et à sa régularité

Dissertation, Université de Toulouse, 2021
Academic
2021 Repository Open Access
Lihan Wang

Quantitative analysis in stochastic homogenization and hypocoercive PDEs in sampling

Dissertation, Duke University, 2021
Preprint
2020 Repository Open Access
Aymeric Baradat and Christian Léonard

Minimizing relative entropy of path measures under marginal constraints

inJournal
2020 Repository Open Access
Aymeric Baradat

Nonlinear instability in Vlasov type equations around rough velocity profiles

In: Annales de l'Institut Henri Poincaré / C, 37 (2020) 3, pp. 489-547
inJournal
2020 Repository Open Access
Aymeric Baradat

On the existence of a scalar pressure field in the Brödinger problem

In: SIAM journal on mathematical analysis, 52 (2020) 1, pp. 370-401
Preprint
2020 Repository Open Access
Wentao Cao and Teng Wang

Vanishing viscosity limit for viscous Burgers-Vlasov equations

inJournal
2020 Repository Open Access
Yu Deng and Christian Zillinger

On the smallness condition in linear inviscid damping : monotonicity and resonance chains

In: Nonlinearity, 33 (2020) 11, pp. 6176-6194
inJournal
2020 Repository Open Access
Mitia Duerinckx and Felix Otto

Higher-order pathwise theory of fluctuations in stochastic homogenization

In: Stochastics and partial differential equations : analysis and computations, 8 (2020) 3, pp. 625-692
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2020 Repository Open Access
Michael Goldman and Felix Otto

A variational proof of partial regularity for optimal transportation maps

In: Annales scientifiques de l'Ecole Normale Supérieure, 53 (2020) 5, pp. 1209-1233
inJournal
2020 Repository Open Access
Michael Goldman

Self-similar minimizers of a branched transport functional

In: Indiana University mathematics journal, 69 (2020) 4, pp. 1073-1104
inJournal
2020 Journal Open Access
Massimiliano Gubinelli and Nicolas Perkowski

The infinitesimal generator of the stochastic Burgers equation

In: Probability theory and related fields, 178 (2020) 3/4, pp. 1067-1124
inJournal
2020 Journal Open Access
André Guerra and Bogdan Raiţă

On the necessity of the constant rank condition for \(L^p\) estimates

In: Comptes rendus mathematique, 358 (2020) 9/10, pp. 1091-1095
Preprint
2020 Repository Open Access
Jan Kristensen and Bogdan Raiţă

An introduction to generalized Young measures

inJournal
2020 Repository Open Access
Jörg Martin and Nicolas Perkowski

A Littlewood-Paley description of modelled distributions

In: Journal of functional analysis, 279 (2020) 6, p. 108634
inJournal
2020 Repository Open Access
Tatsuya Miura

Elastic curves and phase transitions

In: Mathematische Annalen, 376 (2020) 3/4, pp. 1629-1674
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2020 Journal Open Access
Felix Otto and Vladimír Šverák

Editorial

In: Archive for rational mechanics and analysis, 235 (2020) 1, pp. 1-2
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2020 Journal Open Access
Bogdan Raiţă and Anna Skorobogatova

Continuity and canceling operators of order \(n\) on \({\mathbb{R}}^n\)

In: Calculus of variations and partial differential equations, 59 (2020) 2, p. 85
inJournal
2020 Repository Open Access
Fabio Sozio, Mostafa Faghih Shojaei, Souhayl Sadik and Arash Yavari

Nonlinear mechanics of thermoelastic accretion

In: Zeitschrift für Angewandte Mathematik und Physik, 71 (2020) 3, p. 87
inJournal
2019 Repository Open Access
Wentao Cao

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

In: Proceedings of the American Mathematical Society, 147 (2019) 10, pp. 4343-4353
inJournal
2019 Repository Open Access
Olga Chugreeva, Felix Otto and Maria G. Westdickenberg

Relaxation to a planar interface in the Mullins-Sekerka problem

In: Interfaces and free boundaries, 21 (2019) 1, pp. 21-40
inJournal
2019 Journal Open Access
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), pp. 161-186
inJournal
2019 Repository Open Access
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, pp. 519-589
inJournal
2019 Repository Open Access
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, pp. 720-755
inJournal
2019 Repository Open Access
Julian Fischer and Olivier Kneuss

Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^p\) data

In: Journal of differential equations, 266 (2019) 1, pp. 257-311
inJournal
2019 Repository Open Access
Michael Goldman and Eris Runa

On the optimality of stripes in a variational model with non-local interactions

In: Calculus of variations and partial differential equations, 58 (2019) 3, p. 103
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2019 Repository Open Access
Radu Ignat and Felix Otto

The magnetization ripple : a nonlocal stochastic PDE perspective

In: Journal de mathématiques pures et appliquées, 130 (2019), pp. 157-199
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2019 Repository Open Access
Marc Josien

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

In: Asymptotic analysis, 112 (2019) 3-4, pp. 227-246
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2019 Journal Open Access
Marc Josien

Some quantitative homogenization results in a simple case of interface

In: Communications in partial differential equations, 44 (2019) 10, pp. 907-939
inJournal
2019
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
inJournal
2019 Journal Open Access
Mads Kyed and Jonas Sauer

On time-periodic solutions to parabolic boundary value problems

In: Mathematische Annalen, 374 (2019) 1-2, pp. 37-65
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2019 Journal Open Access
Jörg Martin and Nicolas Perkowski

Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model

In: Annales de l'Institut Henri Poincaré / B, 55 (2019) 4, pp. 2058-2110
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2019 Repository Open Access
Ulrich Menne

Pointwise differentiability of higher order for sets

In: Annals of global analysis and geometry, 55 (2019) 3, pp. 591-621
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2019 Repository Open Access
Felix Otto, Michael Goldman and Marc Josien

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

In: Oberwolfach reports, 16 (2019) 3, pp. 2374-2377
inJournal
2019 Repository Open Access
Felix Otto, Sebastian Scholtes and Maria G. Westdickenberg

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

In: Oberwolfach reports, 16 (2019) 1, pp. 170-172
inJournal
2019 Repository Open Access
Felix Otto, Sebastian Scholtes and Maria G. Westdickenberg

Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line

In: SIAM journal on mathematical analysis, 51 (2019) 6, pp. 4645-4682
inJournal
2019 Repository Open Access
Felix Otto, Mitia Duerinckx and Marc Josien

Quantitative stochastic homogenization [In: Computational multiscale methods ; 28 July - 3 August 2019 ; report no. 35/2019]

In: Oberwolfach reports, 16 (2019) 3, pp. 2160-2163
inJournal
2019 Journal Open Access
Felix Otto and Hendrik Weber

Quasi-linear SPDEs in divergence form

In: Stochastics and partial differential equations : analysis and computations, 7 (2019) 1, pp. 64-85
inJournal
2019 Journal Open Access
Felix Otto and Hendrik Weber

Quasilinear SPDEs via rough paths

In: Archive for rational mechanics and analysis, 232 (2019) 2, pp. 873-950
inJournal
2019 Journal Open Access
Nicolas Perkowski and Tommaso Cornelis Rosati

The KPZ equation on the real line

In: Electronic journal of probability, 24 (2019), p. 117
inJournal
2019 Repository Open Access
Bogdan Raiţă and Daniel Spector

A note on estimates for elliptic systems with \(L^1\) data

In: Comptes rendus mathematique, 357 (2019) 11/12, pp. 851-857
inJournal
2019 Repository Open Access
Christian Zillinger

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

In: Journal of mathematical fluid mechanics, 21 (2019) 4, p. 49
inJournal
2018 Journal Open Access
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), pp. 317-375
inJournal
2018 Repository Open Access
Andres Contreras, Xavier Lamy and Rémy Rodiac

On the convergence of minimizers of singular perturbation functionals

In: Indiana University mathematics journal, 67 (2018) 4, pp. 1665-1682
inJournal
2018
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
Preprint
2018 Repository Open Access
Deniz Dizdar, Georg Menz, Felix Otto and Tianqi Wu

Toward a quantitative theory of the hydrodynamic limit

inJournal
2018 Repository Open Access
Matt Elsey and Selim Esedoglu

Threshold dynamics for anisotropic surface energies

In: Mathematics of computation, 87 (2018) 312, pp. 1721-1756
inJournal
2018 Repository Open Access
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, pp. 143-167
Preprint
2018 Repository Open Access
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

inJournal
2018 Repository Open Access
Pavel Gurevich and Sergey Tikhomirov

Spatially discrete reaction-diffusion equations with discontinuous hysteresis

In: Annales de l'Institut Henri Poincaré / C, 35 (2018) 4, pp. 1041-1077
inJournal
2018 Repository Open Access
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, p. 94
inJournal
2018 Repository Open Access
Ulrich Menne and Christian Scharrer

An isoperimetric inequality for diffused surfaces

In: Kodai mathematical journal, 41 (2018) 1, pp. 70-85
inBook
2018
Stefano Modena

Lagrangian representation for systems of conservation laws : an overview

In: Theory, numerics and applications of hyperbolic problems II : Aachen, Germany, August 2016 / Christian Klingenberg... (eds.)
Cham : Springer, 2018. - pp. 335-347
(Springer proceedings in mathematics and statistics ; 237)
inJournal
2018 Repository Open Access
Felix Otto, Michael Goldman and Martin Huesmann

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

In: Oberwolfach reports, 15 (2018) 3, pp. 2121-2124
inJournal
2018 Repository Open Access
Felix Otto and Mitia Duerinckx

Characterizing fluctuations in stochastic homogenization [In: Interplay of analysis and probability in applied mathematics ; 11 February - 17 February 2018 ; report no. 6/2018]

In: Oberwolfach reports, 15 (2018) 1, pp. 364-367
inBook
2018
Felix Otto

Nonlinear partial differential equations and interfacial motions as gradient flow

In: The role of metrics in the theory of partial differential equations : [program and abstracts] ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)
Sapporo : Hokkaido University, 2018. - pp. 33-43
(Hokkaido University technical report series in mathematics ; 174)
Preprint
2018 Repository Open Access
Felix Otto, Jonas Sauer, Scott A. Smith and Hendrik Weber

Parabolic equations with rough coefficients and singular forcing

inJournal
2018 Journal Open Access
Felix Otto

The impact of the SIAM Journal on Mathematical Analysis' most popular paper

In: SIAM news, 51 (2018) 5, pp. 9-9
inJournal
2018 Repository Open Access
Eris Runa and Sara Daneri

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

In: Oberwolfach reports, 15 (2018) 4, pp. 2953-2954
inJournal
2018 Journal Open Access
Jonas Sauer

Instationary generalized Stokes equations in partially periodic domains

In: Journal of mathematical fluid mechanics, 20 (2018) 2, pp. 289-327
inJournal
2018 Repository Open Access
Sebastian Scholtes and Maria G. Westdickenberg

Metastability of the Cahn-Hilliard equation in one space dimension

In: Journal of differential equations, 265 (2018) 4, pp. 1528-1575
Book
2017
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
(Lecture notes in mathematics ; 2200)
ISBN: 978-3-319-67600-5, ISBN: 978-3-319-67599-2, ISSN: 0075-8434
inBook
2017
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
Cham : Springer, 2017. - v-vii
(Lecture notes in mathematics ; 2200)
inJournal
2017 Repository Open Access
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, pp. 179-234
inJournal
2017 Repository Open Access
Laurent Bétermin and Mircea Petrache

Dimension reduction techniques for the minimization of theta functions on lattices

In: Journal of mathematical physics, 58 (2017) 7, p. 071902
inJournal
2017 Repository Open Access
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, pp. 1375-1402
inJournal
2017 Repository Open Access
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, pp. 5-32
Preprint
2017 Repository Open Access
Alberto Chiarini, Alessandra Cipriani and Giovanni Conforti

Approximating conditional distributions

inJournal
2017 Journal Open Access
Benjamin J. Fehrman

Exit laws of isotropic diffusions in random environment from large domains

In: Electronic journal of probability, 22 (2017), p. 63
inJournal
2017 Journal Open Access
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, pp. 409-453
inJournal
2017 Journal Open Access
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, pp. 220-255
inBook
2017 Repository Open Access
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. - pp. 83-99
(Contemporary mathematics ; 692)
inJournal
2017 Repository Open Access
Pavel Gurevich and Sergey Tikhomirov

Rattling in spatially discrete diffusion equations with hysteresis

In: Multiscale modeling and simulation, 15 (2017) 3, pp. 1176-1197
inJournal
2017 Journal Open Access
Emanuel Indrei, Andreas Minne and Levon Nurbekyan

Regularity of solutions in semilinear elliptic theory

In: Bulletin of mathematical sciences, 7 (2017) 1, pp. 177-200
inJournal
2017 Journal Open Access
Ulrich Menne

The concept of varifold

In: Notices of the American Mathematical Society, 64 (2017) 10, pp. 1148-1152
inJournal
2017 Repository Open Access
Stefano Modena

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

In: Nonlinear differential equations and applications, 24 (2017) 5, p. 53
inJournal
2017 Repository Open Access
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, pp. 1761-1809
inJournal
2017 Repository Open Access
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, pp. 119-136
inJournal
2017 Repository Open Access
Felix Otto and Michael Goldman

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

In: Oberwolfach reports, 14 (2017) 1, pp. 345-347
inJournal
2017 Repository Open Access
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, pp. 3647-3683
inJournal
2016
Stan Alama, Lia Bronsard and Xavier Lamy

Analytical description of the Saturn-ring defect in nematic colloids

In: Physical review / E, 93 (2016) 1, p. 012705
inJournal
2016 Repository Open Access
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, pp. 427-450
Preprint
2016
Rajat Bhatnagar and Robert Finn

Comments relating to a paper by Vella and Mahadevan

inJournal
2016
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, pp. 1622-1635
inJournal
2016 Repository Open Access
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, pp. 2359-2378
inJournal
2016 Repository Open Access
Eleonora Cinti and Felix Otto

Interpolation inequalities in pattern formation

In: Journal of functional analysis, 271 (2016) 11, pp. 3348-3392
inJournal
2016 Repository Open Access
Sergio Conti, Felix Otto and Sylvia Serfaty

Branched microstructures in the Ginzburg-Landau model of type-I superconductors

In: SIAM journal on mathematical analysis, 48 (2016) 4, pp. 2994-3034
inBook
2016 Repository Open Access
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. - pp. 211-234
(Understanding complex systems)
inJournal
2016 Journal Open Access
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, pp. 1108-1148
Preprint
2016
Julian Fischer

Approximation of slightly compressible fluids by the incompressible Navier-Stokes equation and lineraized acoustics : a posteriori estimates

inJournal
2016 Journal Open Access
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), p. 011001
inJournal
2016 Repository Open Access
Hans Knüpfer, Cyrill B. Muratov and Matteo Novaga

Low density phases in a uniformly charged liquid

In: Communications in mathematical physics, 345 (2016) 1, pp. 141-183
inJournal
2016
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, p. 125104
inJournal
2016 Repository Open Access
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, pp. 201-228
inJournal
2016 Repository Open Access
Jean-Christophe Mourrat and Felix Otto

Correlation structure of the corrector in stochastic homogenization

In: The annals of probability, 44 (2016) 5, pp. 3207-3233
inJournal
2016 Repository Open Access
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, pp. 137-177
inJournal
2016 Repository Open Access
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, pp. 23-106
inJournal
2016 Journal Open Access
Sergey Tikhomirov

On absolute nonshadowability of transitive maps

In: Differential equations and control processes, 2016 (2016) 3, pp. 57-65
inJournal
2016
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, pp. 1035-1075
inJournal
2015 Repository Open Access
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, pp. 31-42
inJournal
2015 Repository Open Access
Andres Contreras, Xavier Lamy and Rémy Rodiac

Boundary regularity of weakly anchored harmonic maps

In: Comptes rendus mathematique, 353 (2015) 12, pp. 1093-1097
inJournal
2015 Repository Open Access
Selim Esedoglu and Felix Otto

Threshold dynamics for networks with arbitrary surface tensions

In: Communications on pure and applied mathematics, 68 (2015) 5, pp. 808-864
inJournal
2015 Repository Open Access
Julian Fischer

A posteriori modeling error estimates for the assumption of perfect incompressibility in the Navier-Stokes equation

In: SIAM journal on numerical analysis, 53 (2015) 5, pp. 2178-2205
inJournal
2015 Repository Open Access
Julian Fischer

Estimates on front propagation for nonlinear higher-order parabolic equations : an algorithmic approach

In: Interfaces and free boundaries, 17 (2015) 1, pp. 1-20
inJournal
2015 Repository Open Access
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, pp. 825-854
inJournal
2015 Repository Open Access
Julian Fischer

Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems

In: Archive for rational mechanics and analysis, 218 (2015) 1, pp. 553-587
inJournal
2015 Repository Open Access
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, pp. 1-36
inJournal
2015 Repository Open Access
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, pp. 603-624
inJournal
2015
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, pp. 43-61
inJournal
2015 Journal Open Access
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), p. 106
Preprint
2015 Repository Open Access
Jianfeng Lu and Felix Otto

An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus

inJournal
2015 Repository Open Access
Daniel Marahrens and Felix Otto

On annealed elliptic Green's function estimates

In: Mathematica bohemica, 140 (2015) 4, pp. 489-506
Preprint
2015 Repository Open Access
Felix Otto and Hendrik Weber

Hölder regularity for a non-linear parabolic equation driven by space-time white noise

inJournal
2015 Repository Open Access
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, pp. 1119-1156
Preprint
2015 Repository Open Access
Eris Runa

Finite range decomposition for a general class of elliptic operators

Preprint
2015 Repository Open Access
Eris Runa

Sobolev and SBV representation theorems for large volume limit Gibbs measures

inJournal
2015 Repository Open Access
Sergey Tikhomirov

An example of a vector field with the oriented shadowing property

In: Journal of dynamical and control systems, 21 (2015) 4, pp. 643-654
inJournal
2015 Repository Open Access
Sergey Tikhomirov

Hölder shadowing on finite intervals

In: Ergodic theory and dynamical systems, 35 (2015) 6, pp. 2000-2016
inJournal
2015 Repository Open Access
Sergey Tikhomirov

Hysterese

In: Jahrbuch der Max-Planck-Gesellschaft, 2015 (2015), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
Academic
2015 Repository Open Access
Sergey Tikhomirov

Quantitative properties of infinite and finite pseudotrajectories

Habilitation, Universität Leipzig, 2015
inJournal
2015 Journal Open Access
Sergey Tikhomirov

Shadowing in linear skew products

In: Zapiski naucnych seminarov POMI, 432 (2015), pp. 261-273
inJournal
2015 Repository Open Access
Sergey Tikhomirov

Shadowing in linear skew products

In: Journal of mathematical sciences, 209 (2015) 6, pp. 979-987
inJournal
2014 Journal Open Access
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, pp. 1-32
inJournal
2014 Repository Open Access
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, pp. 1091-1113
inJournal
2014 Repository Open Access
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, pp. 1447-1489
inJournal
2014 Repository Open Access
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, pp. 1610-1632
inJournal
2014
Matt Elsey and Benedikt Wirth

Fast automated detection of crystal distortion and crystal defects in polycrystal images

In: Multiscale modeling and simulation, 12 (2014) 1, pp. 1-24
inJournal
2014 Repository Open Access
Julian Fischer

Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems [In: Variational methods for evolution ; 14 December - 20 December 2014 ; report no. 57/2014]

In: Oberwolfach reports, 11 (2014) 4, pp. 3208-3211
inJournal
2014 Repository Open Access
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, pp. 325-346
inJournal
2014 Repository Open Access
Pavel Gurevich and Sergey Tikhomirov

Systems of reaction-diffusion equations with spatially distributed hysteresis

In: Mathematica bohemica, 139 (2014) 2, pp. 239-257
inJournal
2014 Repository Open Access
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, pp. 527-544
inJournal
2014 Repository Open Access
Boris Khesin, Sergei Kuksin and Daniel Peralta-Salas

KAM theory and the 3D Euler equation

In: Advances in mathematics, 267 (2014), pp. 498-522
inJournal
2014 Repository Open Access
Georgy Kitavtsev

Coarsening rates for the dynamics of slipping droplets

In: European journal of applied mathematics, 25 (2014), pp. 83-115
inJournal
2014
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, pp. 1605-1617
inJournal
2014 Repository Open Access
Daniel Marahrens and Felix Otto

Annealed estimates on the Green function

In: Probability theory and related fields, 163 (2014) 3-4, pp. 527-573
inJournal
2014 Repository Open Access
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
inJournal
2014 Repository Open Access
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, pp. 239-267
inJournal
2014 Repository Open Access
Robin Nittka

Inhomogeneous parabolic Neumann problems

In: Czechoslovak mathematical journal, 64 (2014) 3, pp. 703-742
inJournal
2014 Repository Open Access
Alexey Osipov and Sergey Tikhomirov

Shadowing for actions of some finitely generated groups

In: Dynamical systems : an international journal, 29 (2014) 3, pp. 337-351
inJournal
2014 Journal Open Access
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), p. 23
inJournal
2014
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, pp. 720-756
inJournal
2013 Repository Open Access
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, A2671-A2695
inJournal
2013 Repository Open Access
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, p. 20120342
inJournal
2013 Repository Open Access
Thomas Blesgen

Deformation patterning in the framework of large-strain Cosserat plasticity

In: Modelling and simulation in materials science and engineering, 21 (2013) 3, p. 035001
inJournal
2013
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, pp. 545-565
inJournal
2013 Repository Open Access
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, pp. 241-266
inBook
2013 Repository Open Access
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. - pp. 75-92
(CRM series ; 15)
inJournal
2013 Repository Open Access
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, pp. 623-665
inBook
2013 Repository Open Access
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. - pp. 101-109
inJournal
2013 Repository Open Access
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, pp. 181-206
inJournal
2013 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

A quantitative two-scale expansion in stochastic homogenization [In: Interplay of theory and numerics for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report no. 14/2013]

In: Oberwolfach reports, 10 (2013) 1, pp. 821-821
inJournal
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, pp. 2509-2543
inJournal
2013 Repository Open Access
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, pp. 1183-1202
Academic
2013 Repository Open Access
Gereon Knott

Oscillatory solutions to hyperbolic conservation laws and active scalar equations

Dissertation, Universität Leipzig, 2013
inJournal
2013 Repository Open Access
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, pp. 867-904
inJournal
2013 Repository Open Access
Daniel Marahrens and Felix Otto

Regularity for elliptic equations with i.i.d. coefficients [In: Classical and quantum mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report no. 57/2013]

In: Oberwolfach reports, 10 (2013) 4, pp. 3352-3354
inJournal
2013 Repository Open Access
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, pp. 2182-2224
inJournal
2013 Repository Open Access
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, pp. 740-753
inJournal
2013 Repository Open Access
Luca Mugnai and Christian Seis

On the coarsening rates for attachment-limited kinetics

In: SIAM journal on mathematical analysis, 45 (2013) 1, pp. 324-344
inJournal
2013 Repository Open Access
Delio Mugnolo, Robin Nittka and Olaf Post

Norm convergence of sectorial operators on varying Hilbert spaces

In: Operators and matrices, 7 (2013) 4, pp. 955-995
inJournal
2013 Repository Open Access
Robin Nittka

Quasilinear elliptic and parabolic Robin problems on Lipschitz domains

In: Nonlinear differential equations and applications, 20 (2013) 3, pp. 1125-1155
inJournal
2013 Repository Open Access
Felix Otto

A quantitative theory in stochastic homogenization [In: Interplay of theory and numerics for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report no. 14/2013]

In: Oberwolfach reports, 10 (2013) 1, pp. 848-849
inJournal
2013 Repository Open Access
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, pp. 441-464
inJournal
2013 Repository Open Access
Felix Otto

Optimal martensitic inclusions [In: Material theories ; 15 December - 21 December 2013 ; report no. 59/2013]

In: Oberwolfach reports, 10 (2013) 4, pp. 3443-3443
inJournal
2013 Repository Open Access
Felix Otto and Maria G. Westdickenberg

Stability of kinks in Cahn-Hilliard equations - energy/energy dissipation methods [In: Classical and quantum mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report no. 57/2013]

In: Oberwolfach reports, 10 (2013) 4, pp. 3363-3363
inJournal
2013 Repository Open Access
Christian Seis

Laminar boundary layers in convective heat transport

In: Communications in mathematical physics, 324 (2013) 3, pp. 995-1031
Academic
2013 Repository Open Access
Jens Wohlgemuth

Study of a model for reference-free plasticity

Dissertation, Universität Leipzig, 2013
inJournal
2012 Journal Open Access
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, pp. 226-245
inJournal
2012 Journal Open Access
Markus Aurada, Samuel Ferraz-Leite and Dirk Praetorius

Estimator reduction and convergence of adaptive BEM

In: Applied numerical mathematics, 62 (2012) 6, special issue, pp. 787-801
Preprint
2012
Thomas Blesgen

A projected gradient descent method for the solution of the finite-strain elasto-plastic Cosserat model

inJournal
2012 Repository Open Access
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), pp. 58-63
inJournal
2012
Antonio Capella, Stefan Müller and Felix Otto

A constrained model for MSMA

In: Advanced engineering materials, 14 (2012) 8, pp. 594-600
inJournal
2012 Repository Open Access
Antonio Capella and Felix Otto

A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy

In: Proceedings of the Royal Society of Edinburgh / A, 142 (2012) 2, pp. 273-327
inJournal
2012 Repository Open Access
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, pp. 1-28
inJournal
2012 Repository Open Access
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, pp. 1425-1457
inJournal
2012
Chun-Chi Lin

\({L^2}\)-flow of elastic curves with clamped boundary conditions

In: Journal of differential equations, 252 (2012) 12, pp. 6414-6428
inJournal
2012 Repository Open Access
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, pp. 645-706
inJournal
2012 Repository Open Access
Robin Nittka

A note on the implicit function theorem for quasi-linear eigenvalue problems

In: Nonlinear analysis / A, 75 (2012) 5, pp. 2806-2811
inJournal
2012
Robin Nittka

Projections onto convex sets and \(L^p\)-quasi-contractivity of semigroups

In: Archiv der Mathematik, 98 (2012) 4, pp. 341-353
inJournal
2012 Repository Open Access
Felix Otto

Domain and wall pattern in ferromagnets [In: Dynamics of patterns ; 16 December - 22 December 2012 ; report no. 60/2012]

In: Oberwolfach reports, 9 (2012) 4, pp. 3620-3622
Preprint
2012 Repository Open Access
Hartmut R. Schwetlick and Chun-Chi Lin

\({L^2}\)-flow of elastic curves with knot points and clamped ends

inJournal
2012 Repository Open Access
Jutta Steiner, Rudolf Schäfer, Holm Wieczorek, Jeffrey McCord and Felix Otto

Formation and coarsening of the concertina magnetization pattern in elongated thin-film elements

In: Physical review / B, 85 (2012) 10, p. 104407
Book
2011 Repository Open Access
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. - p. 28
(ASC Report ; 24/2011)
ISBN: 978-3-902627-04-9
inJournal
2011
Thomas Blesgen and Isaac Vikram Chenchiah

A generalized Cahn-Hilliard equation incorporating geometrically linear elasticity

In: Interfaces and free boundaries, 13 (2011) 1, pp. 1-27
inJournal
2011 Repository Open Access
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, pp. 114-134
inJournal
2011 Journal Open Access
Eleonora Cinti

Interpolation inequalities in pattern formation

In: Bruno Pini mathematical analysis seminar, 2 (2011) 1, pp. 1-18
inJournal
2011
Patrick W. Dondl, Luca Mugnai and Matthias Röger

Confined elastic curves

In: SIAM journal on applied mathematics, 71 (2011) 6, pp. 2205-2226
inJournal
2011 Repository Open Access
Selim Esedoglu and Felix Otto

Threshold dynamics for arbitrary surface tensions [In: Geometric partial differential equations : theory, numerics and applications ; November 27th - December 3rd, 2011 ; report no. 54/2011]

In: Oberwolfach reports, 8 (2011) 4, pp. 3138-3140
inJournal
2011
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, pp. 89-102
inJournal
2011 Repository Open Access
Antoine Gloria and Felix Otto

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

In: The annals of probability, 39 (2011) 3, pp. 779-856
inJournal
2011 Repository Open Access
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, pp. 941-964
inJournal
2011 Repository Open Access
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, pp. 247-282
inJournal
2011
Georgy Kitavtsev, L. Recke and Barbara Wagner

Centre manifold reduction approach for the lubrication equation

In: Nonlinearity, 24 (2011) 8, pp. 2347-2369
inJournal
2011 Repository Open Access
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, pp. 183-202
Academic
2011 Repository Open Access
Georg Menz

Equilibrium dynamics of continuous unbounded spin systems

Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2011
inJournal
2011 Repository Open Access
Georg Menz

LSI for Kawasaki dynamics with weak interaction

In: Communications in mathematical physics, 307 (2011) 3, pp. 817-860
inJournal
2011 Repository Open Access
Luca Mugnai and Matthias Röger

Convergence of perturbed Allen-Cahn equations to forced mean curvature flow

In: Indiana University mathematics journal, 60 (2011) 1, pp. 41-75
inJournal
2011
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, pp. 465-500
inJournal
2011 Repository Open Access
Felix Otto

Eine Fields-Medaille für Cedric Villani

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 19 (2011) 1, pp. 24-26
inJournal
2011 Repository Open Access
Felix Otto and Christian Seis

Rayleigh-Bénard convection : improved bounds on the Nusselt number

In: Journal of mathematical physics, 52 (2011) 8, p. 083702
inJournal
2011 Repository Open Access
Christian Seis, Yann Brenier and Felix Otto

On the coarsening rates in demixing binary viscous liquids [In: Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011]

In: Oberwolfach reports, 8 (2011) 4, pp. 3160-3162
Academic
2011 Repository Open Access
Christian Seis

Scaling laws in two models for thermodynamically driven fluid flow

Dissertation, Universität Leipzig, 2011
inJournal
2010 Repository Open Access
Giovanni Bellettini and Luca Mugnai

Approximation of Helfrich's functional via diffuse interfaces

In: SIAM journal on mathematical analysis, 42 (2010) 6, pp. 2402-2433
Preprint
2010 Repository Open Access
Thomas Blesgen and Anja Schlömerkemper

A counter example to weak maximum principles for locally vanishing elliptic operators

inBook
2010
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. - pp. 465-489
inJournal
2010
Felix Otto

Branching, coarsening, and interpolation estimates [In: Calculus of variations ; 18 July - 24 July, 2010 ; report no. 31/2010]

In: Oberwolfach reports, 7 (2010) 3, pp. 1833-1835
inJournal
2010
Felix Otto and Georg Menz

Logarithmic Sobolev inequality for a conservative spin system with single-site potentials of arbitrary super-quadratic growth [In: Classical and quantum mechanical models of many-particle systems ; December 5th - December 11th, 2010 ; report no. 54/2010]

In: Oberwolfach reports, 7 (2010) 4, pp. 3210-3212
inJournal
2010
Dejan Slepčev, Eva Eggeling, Matt Elsey, Karl Glasner, Felix Otto, Tobias Rump and Shlomo Taasan

Coarsening in energy-driven systems [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]

In: Oberwolfach reports, 7 (2010) 2, pp. 1469-1471
inJournal
2010
Maria G. Westdickenberg, Natalie Grunewald, Felix Otto and Cédric Villani

A functional analytic approach to logarithmic Sobolev inequalities and the hydrodynamic limit [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]

In: Oberwolfach reports, 7 (2010) 2, pp. 1480-1480
inJournal
2006 Repository Open Access
Peter Howard and Mohammadreza Raoofi

Pointwise asymptotic behavior of perturbed viscous shock profiles

In: Advances in differential equations, 11 (2006) 9, pp. 1031-1080
inJournal
2004
Thomas Blesgen

Existence and uniqueness for a model describing chalcopyrite disease within sphalerite

In: Communications in partial differential equations, 29 (2004) 3-4, pp. 523-546