Research Group
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
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. 701-719inJournal
2025
Journal Open Access
Lecture notes on Malliavin calculus in regularity structures
In: Stochastics and partial differential equations : analysis and computations, (2025)Preprint
2025
Repository Open Access
Multi-index based solution theory to the \(Phi^4\) equation in the full subcritical regime
inJournal
2025
Repository Open Access
A free discontinuity approach to optimal profiles in Stokes flows
In: Annales de l'Institut Henri Poincaré / C, 42 (2025) 3, pp. 593-645inJournal
2025
Repository Open Access
The Gaussian free-field as a stream function : asymptotics of effective diffusivity in infra-red cut-off
In: The annals of probability, 53 (2025) 4, pp. 1510-1536inJournal
2025
Repository Open Access
Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format
In: SIAM journal on scientific computing, 47 (2025) 1, B87-B107Preprint
2025
Repository Open Access
Stochastic Hartree NLS in 3d coming from a many-body quantum system with white noise potential
inJournal
2025
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Algebraic geometry of quantum graphical models
In: Advances in applied mathematics, 170 (2025), p. 102930inJournal
2025
Repository Open Access
Flow equation approach to singular stochastic PDEs
In: Probability and mathematical physics, 6 (2025) 2, pp. 327-437inJournal
2025
Repository Open Access
Renormalization of singular elliptic stochastic PDEs using flow equation
In: Probability and mathematical physics, 6 (2025) 1, pp. 111-138inJournal
2025
Repository Open Access
Long time interface dynamics for gravity stokes flow
In: SIAM journal on mathematical analysis, 57 (2025) 2, pp. 1680-1724inJournal
2025
Repository Open Access
On the global well-posedness of interface dynamics for gravity Stokes flow
In: Journal of differential equations, 428 (2025), pp. 654-687inBook
2025
Repository Open Access
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem
In: Partial differential equations : waves, nonlinearities and nonlocalities ; the Abel symposium 2023 / Mats Ehrnström... (eds.)Cham : Springer, 2025. - pp. 93-109
inJournal
2025
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Partial regularity for optimal transport with p-cost away from fixed points
In: Proceedings of the American Mathematical Society, 153 (2025) 9, pp. 3959-3970inJournal
2025
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Bounds on the aspect ratio of the momentum support of a 2D collisionless plasma
In: Journal of mathematical analysis and applications, 551 (2025) 1, p. 129647inJournal
2025
Repository Open Access
Every Salami has two ends
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 2025 (2025) 821, pp. 291-321inJournal
2025
Repository Open Access
Extremal functions for the second-order Sobolev inequality on Cayley graphs
In: Calculus of variations and partial differential equations, 64 (2025) 7, p. 200inJournal
2025
Journal Open Access
Scale invariant bounds for the Kelvin-Helmholtz instability
In: Nonlinearity, 38 (2025) 9, p. 095018inJournal
2025
Journal Open Access
On the Lavrentiev gap for convex, vectorial integral functionals
In: Journal of functional analysis, 288 (2025) 5, p. 110793inJournal
2025
Journal Open Access
Gradient-type estimates for the dynamic \(\varphi^4_2\)-model
In: Stochastic processes and their applications, 181 (2025), p. 104548Preprint
2025
Repository Open Access
From combinatorics to partial differential equations
inJournal
2025
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A priori bounds for quasi-linear SPDEs in the full sub-critical regime
In: Journal of the European Mathematical Society, 27 (2025) 1, pp. 71-118inJournal
2025
Journal Open Access
Convergence to the planar interface for a nonlocal free-boundary evolution
In: Communications on pure and applied mathematics, 78 (2025) 1, pp. 161-208Preprint
2025
Repository Open Access
On minimizing curves in a Brownian potential
inJournal
2025
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Focusing Gibbs measures with harmonic potential
In: Annales de l'Institut Henri Poincaré / B : Probabilites et statistiques, 61 (2025) 1, pp. 571-598inJournal
2025
Repository Open Access
Corrector estimates and homogenization error of unsteady flow ruled by Darcy's law
In: Mathematische Annalen, 392 (2025) 2, pp. 1877-1941inJournal
2024
Repository Open Access
Approximations of dispersive PDEs in the presence of low-regularity randomness
In: Foundations of computational mathematics, 24 (2024) 6, pp. 1819-1869inJournal
2024
Repository Open Access
Hairer's multilevel Schauder estimates without regularity structures
In: Transactions of the American Mathematical Society, 377 (2024) 10, pp. 6981-7035inJournal
2024
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A top-down approach to algebraic renormalization in regularity structures based on multi-indices
In: Archive for rational mechanics and analysis, 248 (2024) 6, p. 111inJournal
2024
Repository Open Access
Convergence of space-discretised gKPZ via regularity structures
In: The annals of applied probability, 34 (2024) 2, pp. 2488-2538inJournal
2024
Repository Open Access
Diagram-free approach for convergence of trees based model in regularity structures
In: Journal of the Mathematical Society of Japan, 76 (2024) 4, pp. 1139-1169inJournal
2024
Journal Open Access
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
In: Probability theory and related fields, 190 (2024) 1/2, pp. 485-541inJournal
2024
Repository Open Access
Artificial boundary conditions for random ellitpic systems with correlated coefficient field
In: Multiscale modeling and simulation, 22 (2024) 3, pp. 973-1029inJournal
2024
Journal Open Access
Bias in the representative volume element method : periodize the ensemble instead of its realizations
In: Foundations of computational mathematics, 24 (2024) 4, pp. 1305-1387inJournal
2024
Journal Open Access
The quantitative hydrodynamic limit of the Kawasaki dynamics
In: Electronic journal of probability, 29 (2024), p. 192inJournal
2024
Journal Open Access
On a novel gradient flow structure for the aggregation equation
In: Calculus of variations and partial differential equations, 63 (2024) 5, p. 126inJournal
2024
Journal Open Access
There is no stationary \(p\)-cyclically monotone Poisson matching in 2D
In: Electronic journal of probability, 29 (2024), p. 106inJournal
2024
Repository Open Access
Stochastic homogenization and geometric singularities : a study on corners
In: SIAM journal on mathematical analysis, 56 (2024) 2, pp. 2395-2455inJournal
2024
Repository Open Access
Scale invariant bounds for mixing in the Rayleigh-Taylor instability
In: SIAM journal on mathematical analysis, 56 (2024) 6, pp. 7846-7865inJournal
2024
Journal Open Access
Geometric linearisation for optimal transport with strongly p-convex cost
In: Calculus of variations and partial differential equations, 63 (2024) 4, p. 87inJournal
2024
Journal Open Access
Quantified legendreness and the regularity of minima
In: Archive for rational mechanics and analysis, 248 (2024) 4, p. 69Preprint
2024
Repository Open Access
Inviscid Burgers as a degenerate elliptic problem
Preprint
2024
Repository Open Access
Time-dependent averages of a critical long-range stochastic heat equation
Preprint
2024
Repository Open Access
Median filter method for mean curvature flow using a random Jacobi algorithm
inJournal
2024
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A diagram-free approach to the stochastic estimates in regularity structures
In: Inventiones mathematicae, 237 (2024) 3, pp. 1469-1565inJournal
2024
Repository Open Access
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. 609-670Academic
2024
A variational approach to the optimal matching problem
Dissertation, Universität Münster, 2024Preprint
2024
Repository Open Access
A critical drift-diffusion equation : connections to the diffusion on \(\textbf{SL}(2)\)
Preprint
2024
Repository Open Access
Comparison principles for the Finsler infinity Laplacian with applications to minimal Lipschitz extensions
Preprint
2024
Repository Open Access
The Gaussian free-field as a stream function : continuum version of the scale-by-scale homogenization result
Preprint
2024
Repository Open Access
A critical drift-diffusion equation : intermittent behavior
inJournal
2024
Journal Open Access
Distributional celestial amplitudes
In: Journal of high energy physics, 2024 (2024) 7, p. 120inJournal
2024
Repository Open Access
Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system
In: Journal of functional analysis, 286 (2024) 4, p. 110244inJournal
2024
Journal Open Access
Generic level sets in mean curvature flow are BV solutions
In: The journal of geometric analysis, 34 (2024) 12, p. 375inJournal
2023
Repository Open Access
Monge-Ampère gravitation as a \(\Gamma\)-limit of good rate functions
In: Analysis and PDE, 16 (2023) 9, pp. 2005-2040inJournal
2023
Journal Open Access
An example of singular elliptic stochastic PDE
In: Matemática contemporânea, 58 (2023), pp. 3-67Preprint
2023
Repository Open Access
Composition and substitution of regularity structures B-series
inJournal
2023
Journal Open Access
Post-Lie algebras in regularity structures
In: Forum of mathematics / Sigma, 11 (2023), e98inJournal
2023
Repository Open Access
Locality properties of standard homogenization commutator
In: Asymptotic analysis, 132 (2023) 3/4, pp. 409-426inJournal
2023
Repository Open Access
Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces
In: Journal of evolution equations, 23 (2023) 4, p. 68inJournal
2023
Repository Open Access
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. 567-631inJournal
2023
Repository Open Access
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise
In: Mathematics of computation, 92 (2023), pp. 1931-1976inJournal
2023
Journal Open Access
A note on improved differentiability for the Banach-space valued Finsler \(\mathscr {y}\)-Laplacian
In: Comptes rendus mathematique, 361 (2023), pp. 1091-1105inJournal
2023
Journal Open Access
Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs
In: Advances in mathematics, 415 (2023), p. 108869inJournal
2023
Journal Open Access
Endpoint \(L^1\) estimates for Hodge systems
In: Mathematische Annalen, 385 (2023) 3/4, pp. 1923-1946inJournal
2023
Journal Open Access
There is no stationary cyclically monotone Poisson matching in 2d
In: Probability theory and related fields, 187 (2023) 3/4, pp. 629-656inJournal
2023
Repository Open Access
Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus
In: Stochastic processes and their applications, 155 (2023), pp. 1-26inJournal
2023
Repository Open Access
Variational methods for a singular SPDE yielding the universality of the magnetization ripple
In: Communications on pure and applied mathematics, 76 (2023) 11, pp. 2959-3043inJournal
2023
Journal Open Access
Boundary regularity results for minimisers of convex functionals with \((p,q)\)-growth
In: Advances in nonlinear analysis, 12 (2023) 1, p. 20230110inJournal
2023
Repository Open Access
Stochastic homogenization : a short proof of the annealed Calderón-Zygmund estimate
In: Journal of elliptic and parabolic equations, 9 (2023) 1, pp. 125-154Preprint
2023
Repository Open Access
Lecture notes on the harmonic approximation to quadratic optimal transport
inJournal
2023
Journal Open Access
The structure group for quasi-linear equations via universal enveloping algebras
In: Communications of the American Mathematical Society, 3 (2023), pp. 1-64inJournal
2023
Journal Open Access
Birth-death dynamics for sampling : global convergence, approximations and their asymptotics
In: Nonlinearity, 36 (2023) 11, p. 5731inJournal
2023
Repository Open Access
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. 109983inJournal
2023
Journal Open Access
Transverse domain walls in thin ferromagnetic strips
In: Archive for rational mechanics and analysis, 247 (2023) 3, p. 59inJournal
2023
Journal Open Access
Lecture notes on tree-free regularity structures
In: Matemática contemporânea, 58 (2023), pp. 150-196inJournal
2023
Journal Open Access
Quantitative heat-kernel estimates for diffusions with distributional drift
In: Potential analysis, 59 (2023) 2, pp. 731-752inJournal
2023
Journal Open Access
A trace inequality for solenoidal charges
In: Potential analysis, 59 (2023) 4, pp. 2093-2104inJournal
2022
Repository Open Access
Uniform energy distribution in a pattern-forming system of surface charges
In: Revista Matemática Iberoamericana, 38 (2022) 3, pp. 783-822Preprint
2022
Repository Open Access
Low regularity integrators via decorated trees
inJournal
2022
Repository Open Access
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
In: SIAM journal on mathematical analysis, 54 (2022) 3, pp. 3636-3653inJournal
2022
Journal Open Access
Erratum to [updated to open access] : 'On the existence of the Green function for elliptic systems in divergence form' [In: Manuscripta mathematica, 167 (2022) 1/2, p. 385-402]
In: Manuscripta mathematica, 167 (2022) 1/2, pp. 403-404inJournal
2022
Journal Open Access
On the existence of the Green function for elliptic systems in divergence form
In: Manuscripta mathematica, 167 (2022) 1/2, pp. 385-402inJournal
2022
Repository Open Access
Arbeitsgemeinschaft : Quantitative stochastic homogenization ; 16 October - 22 October 2022 ; report no. 48/2022
In: Oberwolfach reports, 19 (2022) 4, pp. 2741-2809inJournal
2022
Journal Open Access
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints
In: Archive for rational mechanics and analysis, 245 (2022) 1, pp. 279-320inJournal
2022
Journal Open Access
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. 256-263inJournal
2022
Repository Open Access
The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
In: Journal of functional analysis, 283 (2022) 7, p. 109594inJournal
2022
Journal Open Access
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. 88Preprint
2022
Repository Open Access
On global absence of Lavrentiev gap for functionals with (p,q)-growth
Preprint
2022
Repository Open Access
On the validity of the Euler-Lagrange system without growth assumptions
inJournal
2022
Journal Open Access
Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications
In: Nonlinear differential equations and applications, 29 (2022) 6, p. 75inJournal
2022
Repository Open Access
Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential
In: Annales de l'Institut Henri Poincaré / B : Probabilites et statistiques, 58 (2022) 3, pp. 1351-1384inJournal
2022
Journal Open Access
Oscillation and concentration in sequences of PDE constrained measures
In: Archive for rational mechanics and analysis, 246 (2022) 2/3, pp. 823-875Preprint
2022
Repository Open Access
A tree-free approach to regularity structures : the regular case for quasi-linear equations
Academic
2022
Repository Open Access
Effective properties of random media : expansions in dilute regimes
Dissertation, Sorbonne Université Laboratoire Jacques-Louis Lions, 2022Academic
2022
Repository Open Access
BPX-Type preconditioners and convergence estimates for strictly quasiconvex functionals
Dissertation, Universität Leipzig, 2022inJournal
2022
Journal Open Access
Representative volume elements for matrix-inclusion composites : a computational study on the effects of an improper treatment of particles intersecting the boundary and the benefits of periodizing the ensemble
In: Journal of the mechanics and physics of solids, 158 (2022), p. 104652inJournal
2021
Repository Open Access
\(\Gamma\)-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. 97-108Academic
2021
Repository Open Access
Quantitative estimates in stochastic homogenization of elliptic equations and systems
Dissertation, Sorbonne Université Laboratoire Jacques-Louis Lions, 2021inJournal
2021
Journal Open Access
Echo chains as a linear mechanism : norm inflation, modified exponents and asymptotics
In: Archive for rational mechanics and analysis, 242 (2021) 1, pp. 643-700inJournal
2021
Repository Open Access
Additive functionals as rough paths
In: The annals of probability, 49 (2021) 3, pp. 1450-1479Preprint
2021
Repository Open Access
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces
inJournal
2021
Repository Open Access
Infrared problem in perturbative quantum field theory
In: Reviews in mathematical physics, 33 (2021) 10, p. 2150032inJournal
2021
Repository Open Access
Quantitative estimates in stochastic homogenization for correlated coefficient fields
In: Analysis and PDE, 14 (2021) 8, pp. 2497-2537inJournal
2021
Repository Open Access
On limiting trace inequalities for vectorial differential operators
In: Indiana University mathematics journal, 70 (2021) 5, pp. 2133-2176inJournal
2021
Repository Open Access
Quantitative linearization results for the Monge-Ampère equation
In: Communications on pure and applied mathematics, 74 (2021) 12, pp. 2483-2560inJournal
2021
Repository Open Access
Optimal artificial boundary condition for random elliptic media
In: Foundations of computational mathematics, 21 (2021) 6, pp. 1643-1702inJournal
2021
Repository Open Access
Pointwise differentiability of higher-order for distributions
In: Analysis and PDE, 14 (2021) 2, pp. 323-354inJournal
2021
Repository Open Access
Sharp boundary \(\varepsilon\)-regularity of optimal transport maps
In: Advances in mathematics, 381 (2021), p. 107603inJournal
2021
Journal Open Access
Variational approach to regularity of optimal transport maps : general cost functions
In: Annals of PDE, 7 (2021) 2, p. 17inJournal
2021
Repository Open Access
A rough super-Brownian motion
In: The annals of probability, 49 (2021) 2, pp. 908-943Academic
2021
Repository Open Access
Contributions au problème du transport optimal et à sa régularité
Dissertation, Université de Toulouse, 2021Academic
2021
Repository Open Access
Quantitative analysis in stochastic homogenization and hypocoercive PDEs in sampling
Dissertation, Duke University, 2021Preprint
2020
Repository Open Access
Minimizing relative entropy of path measures under marginal constraints
inJournal
2020
Repository Open Access
Nonlinear instability in Vlasov type equations around rough velocity profiles
In: Annales de l'Institut Henri Poincaré / C, 37 (2020) 3, pp. 489-547inJournal
2020
Repository Open Access
On the existence of a scalar pressure field in the Brödinger problem
In: SIAM journal on mathematical analysis, 52 (2020) 1, pp. 370-401inJournal
2020
Repository Open Access
Effective multipoles in random media
In: Communications in partial differential equations, 45 (2020) 6, pp. 561-640Preprint
2020
Repository Open Access
Vanishing viscosity limit for viscous Burgers-Vlasov equations
inJournal
2020
Repository Open Access
On the smallness condition in linear inviscid damping : monotonicity and resonance chains
In: Nonlinearity, 33 (2020) 11, pp. 6176-6194inJournal
2020
Repository Open Access
Higher-order pathwise theory of fluctuations in stochastic homogenization
In: Stochastics and partial differential equations : analysis and computations, 8 (2020) 3, pp. 625-692inJournal
2020
Repository Open Access
Robustness of the pathwise structure of fluctuations in stochastic homogenization
In: Probability theory and related fields, 178 (2020) 1/2, pp. 531-566inJournal
2020
Repository Open Access
The structure of fluctuations in stochastic homogenization
In: Communications in mathematical physics, 377 (2020) 1, pp. 259-306inJournal
2020
Repository Open Access
A regularity theory for random elliptic operators
In: Milan journal of mathematics, 88 (2020) 1, pp. 99-170inJournal
2020
Repository Open Access
A variational proof of partial regularity for optimal transportation maps
In: Annales scientifiques de l'Ecole Normale Supérieure, 53 (2020) 5, pp. 1209-1233inJournal
2020
Repository Open Access
Self-similar minimizers of a branched transport functional
In: Indiana University mathematics journal, 69 (2020) 4, pp. 1073-1104inJournal
2020
Journal Open Access
The infinitesimal generator of the stochastic Burgers equation
In: Probability theory and related fields, 178 (2020) 3/4, pp. 1067-1124inJournal
2020
Journal Open Access
On the necessity of the constant rank condition for \(L^p\) estimates
In: Comptes rendus mathematique, 358 (2020) 9/10, pp. 1091-1095inJournal
2020
Journal Open Access
Numerical study in stochastic homogenization for elliptic partial differential equations : convergence rate in the size of representative volume elements
In: Numerical linear algebra with applications, 27 (2020) 3, e2296Preprint
2020
Repository Open Access
An introduction to generalized Young measures
inJournal
2020
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Brakke's inequality for the thresholding scheme
In: Calculus of variations and partial differential equations, 59 (2020) 1, p. 39inBook
2020
Repository Open Access
The thresholding scheme for mean curvature flow and De Giorgi's ideas for minimizing movements
In: The role of metrics in the theory of partial differential equations : proceedings ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)Tokyo : Mathematical Society of Japan, 2020. - pp. 63-93
(Advanced studies in pure mathematics ; 85)
inJournal
2020
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A Littlewood-Paley description of modelled distributions
In: Journal of functional analysis, 279 (2020) 6, p. 108634inJournal
2020
Repository Open Access
Elastic curves and phase transitions
In: Mathematische Annalen, 376 (2020) 3/4, pp. 1629-1674inJournal
2020
Journal Open Access
Editorial
In: Archive for rational mechanics and analysis, 235 (2020) 1, pp. 1-2inJournal
2020
Journal Open Access
Continuity and canceling operators of order \(n\) on \({\mathbb{R}}^n\)
In: Calculus of variations and partial differential equations, 59 (2020) 2, p. 85inJournal
2020
Repository Open Access
Nonlinear mechanics of thermoelastic accretion
In: Zeitschrift für Angewandte Mathematik und Physik, 71 (2020) 3, p. 87inJournal
2019
Repository Open Access
The semi-global isometric embedding of surfaces with curvature changing signs stably
In: Proceedings of the American Mathematical Society, 147 (2019) 10, pp. 4343-4353inJournal
2019
Repository Open Access
Relaxation to a planar interface in the Mullins-Sekerka problem
In: Interfaces and free boundaries, 21 (2019) 1, pp. 21-40inJournal
2019
Journal Open Access
Pathwise integration and change of variable formulas for continuous paths with arbitrary regularity
In: Transactions of the American Mathematical Society / B, 6 (2019), pp. 161-186inJournal
2019
Repository Open Access
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. 519-589inJournal
2019
Repository Open Access
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. 720-755inJournal
2019
Repository Open Access
Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with \(L^p\) data
In: Journal of differential equations, 266 (2019) 1, pp. 257-311inJournal
2019
Repository Open Access
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. 103inJournal
2019
Repository Open Access
The magnetization ripple : a nonlocal stochastic PDE perspective
In: Journal de mathématiques pures et appliquées, 130 (2019), pp. 157-199inJournal
2019
Repository Open Access
Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients
In: Asymptotic analysis, 112 (2019) 3-4, pp. 227-246inJournal
2019
Journal Open Access
Some quantitative homogenization results in a simple case of interface
In: Communications in partial differential equations, 44 (2019) 10, pp. 907-939inJournal
2019
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, e201800179inJournal
2019
Journal Open Access
On time-periodic solutions to parabolic boundary value problems
In: Mathematische Annalen, 374 (2019) 1-2, pp. 37-65inJournal
2019
Journal Open Access
Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
In: Annales de l'Institut Henri Poincaré / B : Probabilites et statistiques, 55 (2019) 4, pp. 2058-2110inJournal
2019
Repository Open Access
Pointwise differentiability of higher order for sets
In: Annals of global analysis and geometry, 55 (2019) 3, pp. 591-621inJournal
2019
Repository Open Access
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. 2374-2377inJournal
2019
Repository Open Access
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. 170-172inJournal
2019
Repository Open Access
Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line
In: SIAM journal on mathematical analysis, 51 (2019) 6, pp. 4645-4682inJournal
2019
Repository Open Access
Quantitative stochastic homogenization [In: Computational multiscale methods ; 28 July - 3 August 2019 ; report no. 35/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2160-2163inJournal
2019
Journal Open Access
Quasi-linear SPDEs in divergence form
In: Stochastics and partial differential equations : analysis and computations, 7 (2019) 1, pp. 64-85inJournal
2019
Journal Open Access
Quasilinear SPDEs via rough paths
In: Archive for rational mechanics and analysis, 232 (2019) 2, pp. 873-950inJournal
2019
Journal Open Access
The KPZ equation on the real line
In: Electronic journal of probability, 24 (2019), p. 117inJournal
2019
Repository Open Access
A note on estimates for elliptic systems with \(L^1\) data
In: Comptes rendus mathematique, 357 (2019) 11/12, pp. 851-857inJournal
2019
Repository Open Access
On the forced Euler and Navier-Stokes equations : linear damping and modified scattering
In: Journal of mathematical fluid mechanics, 21 (2019) 4, p. 49inJournal
2018
Repository Open Access
A Liouville theorem for elliptic systems with degenerate ergodic coefficients
In: The annals of applied probability, 28 (2018) 3, pp. 1379-1422inJournal
2018
Journal Open Access
A branched transport limit of the Ginzburg-Landau functional
In: Journal de l'Ecole polytechnique : mathématiques, 5 (2018), pp. 317-375inJournal
2018
Repository Open Access
On the convergence of minimizers of singular perturbation functionals
In: Indiana University mathematics journal, 67 (2018) 4, pp. 1665-1682inJournal
2018
Pattern formation for a family of models with local/nonlocal interactions
In: Proceedings in applied mathematics and mechanics, 18 (2018) 1, e201800352Preprint
2018
Repository Open Access
Toward a quantitative theory of the hydrodynamic limit
inJournal
2018
Repository Open Access
Threshold dynamics for anisotropic surface energies
In: Mathematics of computation, 87 (2018) 312, pp. 1721-1756inJournal
2018
Repository Open Access
Strong stability of 2D viscoelastic Poiseuille-type flows
In: Advances in mathematical sciences and applications, 27 (2018) 1, pp. 143-167Preprint
2018
Repository Open Access
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
Spatially discrete reaction-diffusion equations with discontinuous hysteresis
In: Annales de l'Institut Henri Poincaré / C, 35 (2018) 4, pp. 1041-1077inJournal
2018
Repository Open Access
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. 94inJournal
2018
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An isoperimetric inequality for diffused surfaces
In: Kodai mathematical journal, 41 (2018) 1, pp. 70-85inBook
2018
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)
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2018
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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. 2121-2124inJournal
2018
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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. 364-367inBook
2018
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)
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2018
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Parabolic equations with rough coefficients and singular forcing
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2018
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The impact of the SIAM Journal on Mathematical Analysis' most popular paper
In: SIAM news, 51 (2018) 5, pp. 9-9inJournal
2018
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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. 2953-2954inJournal
2018
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Instationary generalized Stokes equations in partially periodic domains
In: Journal of mathematical fluid mechanics, 20 (2018) 2, pp. 289-327inJournal
2018
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Metastability of the Cahn-Hilliard equation in one space dimension
In: Journal of differential equations, 265 (2018) 4, pp. 1528-1575Book
2017
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
Preface to CIME lecture notes
In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015Cham : Springer, 2017. - v-vii
(Lecture notes in mathematics ; 2200)
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2017
Liouville properties and error estimates for elliptic equations in exterior domains
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2017
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Quantitative stochastic homogenization : local control of homogenization error through corrector
In: Mathematics and materials / Mark J. Bowick... (eds.)Providence, RI : American mathematical society, 2017. - pp. 301-327
(IAS/Park City mathematics series ; 23)
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2017
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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, pp. 4658-4703inJournal
2017
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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. 179-234inJournal
2017
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Dimension reduction techniques for the minimization of theta functions on lattices
In: Journal of mathematical physics, 58 (2017) 7, p. 071902inJournal
2017
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Kinetic selection principle for curl-free vector fields of unit norm
In: Communications in partial differential equations, 42 (2017) 9, pp. 1375-1402inJournal
2017
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Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates
In: Dynamics of partial differential equations, 14 (2017) 1, pp. 5-32Preprint
2017
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Approximating conditional distributions
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2017
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Green's function for elliptic systems : existence and Delmotte-Deuschel bounds
In: Calculus of variations and partial differential equations, 56 (2017) 6, p. 163inJournal
2017
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Exit laws of isotropic diffusions in random environment from large domains
In: Electronic journal of probability, 22 (2017), p. 63inJournal
2017
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On the existence of an invariant measure for isotropic diffusions in random environment
In: Probability theory and related fields, 168 (2017) 1-2, pp. 409-453inJournal
2017
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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. 220-255inBook
2017
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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)
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2017
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Quantitative results on the corrector equation in stochastic homogenization
In: Journal of the European Mathematical Society, 19 (2017) 11, pp. 3489-3548inJournal
2017
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Rattling in spatially discrete diffusion equations with hysteresis
In: Multiscale modeling and simulation, 15 (2017) 3, pp. 1176-1197inJournal
2017
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Regularity of solutions in semilinear elliptic theory
In: Bulletin of mathematical sciences, 7 (2017) 1, pp. 177-200Preprint
2017
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A numerical primer in 2D stochastic homogenization : CLT scaling in the representative volume element
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2017
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Kornwachstum in Polykristallen: Algorithmen für den mittleren Krümmungsfluss
In: Jahrbuch der Max-Planck-Gesellschaft, 2017 (2017), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2017
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The concept of varifold
In: Notices of the American Mathematical Society, 64 (2017) 10, pp. 1148-1152inJournal
2017
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A 'forward-in-time' quadratic potential for systems of conservation laws
In: Nonlinear differential equations and applications, 24 (2017) 5, p. 53inJournal
2017
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Stochastic homogenization of nonconvex discrete energies with degenerate growth
In: SIAM journal on mathematical analysis, 49 (2017) 3, pp. 1761-1809inJournal
2017
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Limitations of the background field method applied to Rayleigh-Bénard convection
In: Journal of mathematical physics, 58 (2017) 9, p. 093102inJournal
2017
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Interpenetration of matter in plate theories obtained as \(\Gamma\)-limits
In: Control, optimisation and calculus of variations (ESAIM-COCV), 23 (2017) 1, pp. 119-136inJournal
2017
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Brakke - de Giorgi - Osher [In: Variational methods for evolution ; 12 November - 18 November 2017 ; report no. 54/2017]
In: Oberwolfach reports, 14 (2017) 4, pp. 3219-3222inJournal
2017
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Effective multipole expansion in random media [In: Material theories ; 16 July - 22 July 2017 ; report no. 33/2017]
In: Oberwolfach reports, 14 (2017) 3, pp. 2068-2071inJournal
2017
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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. 345-347inBook
2017
Rigorous bounds on scaling laws in fluid dynamics
In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015Cham : Springer, 2017. - pp. 101-145
(Lecture notes in mathematics ; 2200)
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2017
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Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds
In: International mathematics research notices, 2017 (2017) 12, pp. 3647-3683inJournal
2016
Analytical description of the Saturn-ring defect in nematic colloids
In: Physical review / E, 93 (2016) 1, p. 012705inJournal
2016
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Minimizers of the Landau-de Gennes energy around a spherical colloid particle
In: Archive for rational mechanics and analysis, 222 (2016) 1, pp. 427-450inJournal
2016
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Corrector estimates for elliptic systems with random periodic coefficients
In: Multiscale modeling and simulation, 14 (2016) 4, pp. 1434-1462Preprint
2016
Comments relating to a paper by Vella and Mahadevan
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2016
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. 1622-1635inJournal
2016
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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. 2359-2378inJournal
2016
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A maximal regularity estimate for the non-stationary Stokes equation in the strip
In: Journal of differential equations, 260 (2016) 7, pp. 5589-5626inJournal
2016
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Upper bounds on Nusselt number at finite Prandtl number
In: Journal of differential equations, 260 (2016) 4, pp. 3860-3880inJournal
2016
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Interpolation inequalities in pattern formation
In: Journal of functional analysis, 271 (2016) 11, pp. 3348-3392inJournal
2016
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Branched microstructures in the Ginzburg-Landau model of type-I superconductors
In: SIAM journal on mathematical analysis, 48 (2016) 4, pp. 2994-3034inBook
2016
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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)
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2016
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Interacting tails of asymmetric domain walls : theory and experiments
In: Physical review / B, 93 (2016) 2, p. 024414inJournal
2016
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Topology and hysteretic domain-wall transitions in ferromagnets [In: Mechanics of materials : mechanics of interfaces and evolving microstructure ; 13 March - 19 March ; report no. 17/2016]
In: Oberwolfach reports, 13 (2016) 1, pp. 817-818inJournal
2016
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A higher-order large-scale regularity theory for random elliptic operators
In: Communications in partial differential equations, 41 (2016) 7, pp. 1108-1148Preprint
2016
Approximation of slightly compressible fluids by the incompressible Navier-Stokes equation and lineraized acoustics : a posteriori estimates
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2016
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Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
In: Nonlinearity, 29 (2016) 9, pp. 2497-2536inJournal
2016
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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. 011001inJournal
2016
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Low density phases in a uniformly charged liquid
In: Communications in mathematical physics, 345 (2016) 1, pp. 141-183inJournal
2016
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Convergence of the thresholding scheme for multi-phase mean-curvature flow
In: Calculus of variations and partial differential equations, 55 (2016) 5, p. 129inJournal
2016
Tucker-tensor algorithm for large-scale Kohn-Sham density functional theory calculations
In: Physical review / B, 93 (2016) 12, p. 125104inJournal
2016
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Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
In: Journal of functional analysis, 270 (2016) 1, pp. 201-228inJournal
2016
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Correlation structure of the corrector in stochastic homogenization
In: The annals of probability, 44 (2016) 5, pp. 3207-3233inJournal
2016
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The magnetization ripple revisited [In: Mini-workshop : mathematics of magnetoelastic materials ; 30 October - 5 November 2016 ; report no. 51/2016]
In: Oberwolfach reports, 13 (2016) 4, pp. 2917-2919inJournal
2016
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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. 137-177inJournal
2016
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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. 23-106inJournal
2016
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On absolute nonshadowability of transitive maps
In: Differential equations and control processes, 2016 (2016) 3, pp. 57-65inJournal
2016
A variational framework for spectral approximations of Kohn-Sham density functional theory
In: Archive for rational mechanics and analysis, 221 (2016) 2, pp. 1035-1075inJournal
2015
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Fine properties of the subdifferential for a class of one-homogeneous functionals
In: Advances in calculus of variations, 8 (2015) 1, pp. 31-42inJournal
2015
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Boundary regularity of weakly anchored harmonic maps
In: Comptes rendus mathematique, 353 (2015) 12, pp. 1093-1097inJournal
2015
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Threshold dynamics for networks with arbitrary surface tensions
In: Communications on pure and applied mathematics, 68 (2015) 5, pp. 808-864inJournal
2015
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Algebraic contraction rate for distance between entropy solutions of scalar conservation laws
In: Journal of mathematical analysis and applications, 435 (2015) 2, pp. 1525-1551inJournal
2015
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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. 2178-2205inJournal
2015
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Estimates on front propagation for nonlinear higher-order parabolic equations : an algorithmic approach
In: Interfaces and free boundaries, 17 (2015) 1, pp. 1-20inJournal
2015
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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. 825-854inJournal
2015
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Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems
In: Archive for rational mechanics and analysis, 218 (2015) 1, pp. 553-587inJournal
2015
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Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics
In: Inventiones mathematicae, 199 (2015) 2, pp. 455-515inJournal
2015
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Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
In: ESAIM / Proceedings, 48 (2015), pp. 80-97Preprint
2015
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The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations
inJournal
2015
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Existence and stability for a non-local isoperimetric model of charged liquid drops
In: Archive for rational mechanics and analysis, 217 (2015) 1, pp. 1-36inJournal
2015
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New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations
In: Communications in partial differential equations, 40 (2015) 12, pp. 2237-2265inJournal
2015
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Sharp interface limit for two components Bose-Einstein condensates
In: Control, optimisation and calculus of variations (ESAIM-COCV), 21 (2015) 3, pp. 603-624inJournal
2015
Gradient flow perspective on thin-film bilayer flows
In: Journal of engineering mathematics, 94 (2015) 1, pp. 43-61inJournal
2015
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Moment bounds for the corrector in stochastic homogenization of a percolation model
In: Electronic journal of probability, 20 (2015), p. 106Preprint
2015
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An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
inJournal
2015
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On annealed elliptic Green's function estimates
In: Mathematica bohemica, 140 (2015) 4, pp. 489-506inJournal
2015
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Quantitative stochastic homogenization of elliptic equations [In: Interplay of analysis and probability in applied mathematics ; 26 July - 1 August 2015 ; report no. 35/2015]
In: Oberwolfach reports, 12 (2015) 3, pp. 2030-2033Preprint
2015
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Hölder regularity for a non-linear parabolic equation driven by space-time white noise
inJournal
2015
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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. 1119-1156Preprint
2015
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Finite range decomposition for a general class of elliptic operators
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2015
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Sobolev and SBV representation theorems for large volume limit Gibbs measures
inJournal
2015
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An example of a vector field with the oriented shadowing property
In: Journal of dynamical and control systems, 21 (2015) 4, pp. 643-654inJournal
2015
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Hölder shadowing on finite intervals
In: Ergodic theory and dynamical systems, 35 (2015) 6, pp. 2000-2016inJournal
2015
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Hysterese
In: Jahrbuch der Max-Planck-Gesellschaft, 2015 (2015), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschaftenAcademic
2015
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Quantitative properties of infinite and finite pseudotrajectories
Habilitation, Universität Leipzig, 2015inJournal
2015
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Shadowing in linear skew products
In: Zapiski naucnych seminarov POMI, 432 (2015), pp. 261-273inJournal
2015
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Shadowing in linear skew products
In: Journal of mathematical sciences, 209 (2015) 6, pp. 979-987inJournal
2014
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HILBERT : a Matlab implementation of adaptive 2D-BEM
In: Numerical algorithms, 67 (2014) 1, pp. 1-32inJournal
2014
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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. 1091-1113inJournal
2014
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Plane-like minimizers and differentiability of the stable norm
In: The journal of geometric analysis, 24 (2014) 3, pp. 1447-1489inJournal
2014
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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. 1610-1632inJournal
2014
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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, pp. 1377-1422inJournal
2014
Fast automated detection of crystal distortion and crystal defects in polycrystal images
In: Multiscale modeling and simulation, 12 (2014) 1, pp. 1-24inJournal
2014
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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. 3208-3211inJournal
2014
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Well-posedness for the Navier-Slip thin-film equation in the case of complete wetting
In: Journal of differential equations, 257 (2014) 1, pp. 15-81inJournal
2014
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An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
In: ESAIM / Mathematical modelling and numerical analysis, 48 (2014) 2, pp. 325-346inJournal
2014
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Systems of reaction-diffusion equations with spatially distributed hysteresis
In: Mathematica bohemica, 139 (2014) 2, pp. 239-257inJournal
2014
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Weak solutions to lubrication systems describing the evolution of bilayer thin films
In: Communications in mathematical sciences, 12 (2014) 3, pp. 527-544inJournal
2014
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KAM theory and the 3D Euler equation
In: Advances in mathematics, 267 (2014), pp. 498-522inJournal
2014
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Coarsening rates for the dynamics of slipping droplets
In: European journal of applied mathematics, 25 (2014), pp. 83-115inJournal
2014
Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
In: Communications on pure and applied mathematics, 67 (2014) 10, pp. 1605-1617inJournal
2014
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Annealed estimates on the Green function
In: Probability theory and related fields, 163 (2014) 3-4, pp. 527-573inJournal
2014
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Effektive Beschreibung von heterogenen Medien
In: Jahrbuch der Max-Planck-Gesellschaft, 2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2014
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Decay of correlations in 1D lattice systems of continuous spins and long-range interaction
In: Journal of statistical physics, 156 (2014) 2, pp. 239-267inJournal
2014
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Inhomogeneous parabolic Neumann problems
In: Czechoslovak mathematical journal, 64 (2014) 3, pp. 703-742inJournal
2014
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Shadowing for actions of some finitely generated groups
In: Dynamical systems : an international journal, 29 (2014) 3, pp. 337-351inJournal
2014
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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. 23inJournal
2014
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation
In: SIAM journal on mathematical analysis, 46 (2014) 1, pp. 720-756inJournal
2013
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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-A2695inJournal
2013
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Cahn-Hilliard equations incorporating elasticity : analysis and comparison to experiments
In: Philosophical transactions of the Royal Society / A, 371 (2013) 2005, p. 20120342inJournal
2013
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Deformation patterning in the framework of large-strain Cosserat plasticity
In: Modelling and simulation in materials science and engineering, 21 (2013) 3, p. 035001inJournal
2013
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. 545-565inJournal
2013
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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. 241-266inBook
2013
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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
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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. 623-665inBook
2013
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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
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2013
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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, pp. 735-760inJournal
2013
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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. 181-206inJournal
2013
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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. 821-821Preprint
2013
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Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics - long version
inJournal
2013
Optimal bilinear control of Gross-Pitaevskii equations
In: SIAM journal on control and optimization, 51 (2013) 3, pp. 2509-2543inJournal
2013
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Stationary solutions of liquid two-layer thin-film models
In: SIAM journal on applied mathematics, 73 (2013) 3, pp. 1183-1202Academic
2013
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Oscillatory solutions to hyperbolic conservation laws and active scalar equations
Dissertation, Universität Leipzig, 2013inJournal
2013
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Nucleation barriers for the cubic-to-tetragonal phase transformation
In: Communications on pure and applied mathematics, 66 (2013) 6, pp. 867-904inJournal
2013
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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. 3352-3354inJournal
2013
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Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
In: The annals of probability, 41 (2013) 3B, pp. 2182-2224inJournal
2013
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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. 740-753inJournal
2013
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On the coarsening rates for attachment-limited kinetics
In: SIAM journal on mathematical analysis, 45 (2013) 1, pp. 324-344inJournal
2013
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Norm convergence of sectorial operators on varying Hilbert spaces
In: Operators and matrices, 7 (2013) 4, pp. 955-995inJournal
2013
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Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
In: Nonlinear differential equations and applications, 20 (2013) 3, pp. 1125-1155inJournal
2013
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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. 848-849inJournal
2013
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Crossover of the coarsening rates in demixing of binary viscous liquids
In: Communications in mathematical sciences, 11 (2013) 2, pp. 441-464inJournal
2013
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Optimal martensitic inclusions [In: Material theories ; 15 December - 21 December 2013 ; report no. 59/2013]
In: Oberwolfach reports, 10 (2013) 4, pp. 3443-3443inJournal
2013
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Rayleigh-Bénard convection : bounds on the Nusselt number [In: Geophysical fluid dynamics ; 17 February - 23 February 2013 ; report no. 10/2013]
In: Oberwolfach reports, 10 (2013) 1, pp. 544-545inJournal
2013
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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. 3363-3363inJournal
2013
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Laminar boundary layers in convective heat transport
In: Communications in mathematical physics, 324 (2013) 3, pp. 995-1031Academic
2013
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Study of a model for reference-free plasticity
Dissertation, Universität Leipzig, 2013inJournal
2012
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Convergence of adaptive BEM for some mixed boundary value problem
In: Applied numerical mathematics, 62 (2012) 4, pp. 226-245inJournal
2012
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Estimator reduction and convergence of adaptive BEM
In: Applied numerical mathematics, 62 (2012) 6, special issue, pp. 787-801Preprint
2012
A projected gradient descent method for the solution of the finite-strain elasto-plastic Cosserat model
inJournal
2012
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Continuum limits of bistable spring models of carbon nanotube arrays accounting for material damage
In: Mechanics research communications, 45 (2012), pp. 58-63inJournal
2012
A constrained model for MSMA
In: Advanced engineering materials, 14 (2012) 8, pp. 594-600inJournal
2012
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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. 273-327inBook
2012
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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, 2012Vienna : International Federation of Automatic Control, 2012. - pp. 498-503
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2012
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An optimal error estimate in stochastic homogenization of discrete elliptic equations
In: The annals of applied probability, 22 (2012) 1, pp. 1-28inJournal
2012
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Asymptotics for the spectrum of a thin film equation in a singular limit
In: SIAM journal on applied dynamical systems, 11 (2012) 4, pp. 1425-1457inJournal
2012
\({L^2}\)-flow of elastic curves with clamped boundary conditions
In: Journal of differential equations, 252 (2012) 12, pp. 6414-6428inJournal
2012
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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. 645-706inJournal
2012
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A note on the implicit function theorem for quasi-linear eigenvalue problems
In: Nonlinear analysis / A, 75 (2012) 5, pp. 2806-2811inJournal
2012
Projections onto convex sets and \(L^p\)-quasi-contractivity of semigroups
In: Archiv der Mathematik, 98 (2012) 4, pp. 341-353inJournal
2012
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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. 3620-3622Preprint
2012
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\({L^2}\)-flow of elastic curves with knot points and clamped ends
inJournal
2012
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Formation and coarsening of the concertina magnetization pattern in elongated thin-film elements
In: Physical review / B, 85 (2012) 10, p. 104407Book
2011
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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
A generalized Cahn-Hilliard equation incorporating geometrically linear elasticity
In: Interfaces and free boundaries, 13 (2011) 1, pp. 1-27inJournal
2011
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Upper bounds on coarsening rates in demixing binary viscous liquids
In: SIAM journal on mathematical analysis, 43 (2011) 1, pp. 114-134inJournal
2011
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Generalised Einstein relation for hot Brownian motion
In: epl, 96 (2011) 6, p. 60009inJournal
2011
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Interpolation inequalities in pattern formation
In: Bruno Pini mathematical analysis seminar, 2 (2011) 1, pp. 1-18inJournal
2011
Confined elastic curves
In: SIAM journal on applied mathematics, 71 (2011) 6, pp. 2205-2226inJournal
2011
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Domänen- und Wandmuster in ferromagnetischen Filmen
In: Jahrbuch der Max-Planck-Gesellschaft, 2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2011
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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. 3138-3140inJournal
2011
Multiscale mass-spring models of carbon nanotube foams
In: Journal of the mechanics and physics of solids, 59 (2011) 1, pp. 89-102inJournal
2011
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An optimal variance estimate in stochastic homogenization of discrete elliptic equations
In: The annals of probability, 39 (2011) 3, pp. 779-856inJournal
2011
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Commutability of homogenization and linearization at identity in finite elasticity and applications
In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 6, pp. 941-964inJournal
2011
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A compactness result for Landau state in thin-film micromagnetics
In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 2, pp. 247-282inJournal
2011
Centre manifold reduction approach for the lubrication equation
In: Nonlinearity, 24 (2011) 8, pp. 2347-2369inJournal
2011
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Weak solutions to lubrication equations in the presence of strong slippage
In: Methods and applications of analysis, 18 (2011) 2, pp. 183-202Academic
2011
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Equilibrium dynamics of continuous unbounded spin systems
Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2011inJournal
2011
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LSI for Kawasaki dynamics with weak interaction
In: Communications in mathematical physics, 307 (2011) 3, pp. 817-860inJournal
2011
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Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011
In: Oberwolfach reports, 8 (2011) 4, pp. 3145-3216inJournal
2011
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Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
In: Indiana University mathematics journal, 60 (2011) 1, pp. 41-75inJournal
2011
On the commutability of homogenization and linearization in finite elasticity
In: Archive for rational mechanics and analysis, 201 (2011) 2, pp. 465-500inJournal
2011
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Eine Fields-Medaille für Cedric Villani
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 19 (2011) 1, pp. 24-26inJournal
2011
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Rayleigh-Bénard convection : improved bounds on the Nusselt number
In: Journal of mathematical physics, 52 (2011) 8, p. 083702inJournal
2011
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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. 3160-3162Academic
2011
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Scaling laws in two models for thermodynamically driven fluid flow
Dissertation, Universität Leipzig, 2011inJournal
2010
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Approximation of Helfrich's functional via diffuse interfaces
In: SIAM journal on mathematical analysis, 42 (2010) 6, pp. 2402-2433inJournal
2010
Phase transitions : May 30th - June 5th, 2010 ; report no. 24/2010
In: Oberwolfach reports, 7 (2010) 2, pp. 1431-1484Preprint
2010
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A counter example to weak maximum principles for locally vanishing elliptic operators
inBook
2010
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
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. 1833-1835inJournal
2010
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. 3210-3212inJournal
2010
Coarsening in energy-driven systems [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]
In: Oberwolfach reports, 7 (2010) 2, pp. 1469-1471inJournal
2010
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. 1480-1480inJournal
2006
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Pointwise asymptotic behavior of perturbed viscous shock profiles
In: Advances in differential equations, 11 (2006) 9, pp. 1031-1080inJournal
2004
Existence and uniqueness for a model describing chalcopyrite disease within sphalerite
In: Communications in partial differential equations, 29 (2004) 3-4, pp. 523-546Open Access Types
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