inJournal
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
2024
Repository Open Access
Lecture notes on Malliavin calculus in regularity structures
inJournal
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
There is no stationary \(p\)-cyclically monotone Poisson matching in 2D
In: Electronic journal of probability, 29 (2024), p. 106inJournal
2024
Journal Open Access
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. 609-670Preprint
2024
Repository Open Access
A critical drift-diffusion equation : connections to the diffusion on \(\textbf{SL}(2)\)
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
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. 1931-1976Preprint
2023
Repository Open Access
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem
inJournal
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
Variational methods for a singular SPDE yielding the universality of the magnetization ripple
In: Communications on pure and applied mathematics, 76 (2023) 11, pp. 2959-3043Preprint
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
Lecture notes on tree-free regularity structures
In: Matemática contemporÒanea, 58 (2023), pp. 150-196inJournal
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
The Gaussian free-field as a stream function : asymptotics of effective diffusivity in infra-red cut-off
inJournal
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
Repository Open Access
The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
In: Journal of functional analysis, 283 (2022) 7, p. 109594Preprint
2022
Repository Open Access
A tree-free approach to regularity structures : the regular case for quasi-linear equations
inJournal
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
Quantitative estimates in stochastic homogenization for correlated coefficient fields
In: Analysis and PDE, 14 (2021) 8, pp. 2497-2537inJournal
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
Sharp boundary \(\varepsilon\)-regularity of optimal transport maps
In: Advances in mathematics, 381 (2021), p. 107603Preprint
2021
Repository Open Access
A priori bounds for quasi-linear SPDEs in the full sub-critical regime
inJournal
2021
Journal Open Access
Variational approach to regularity of optimal transport maps : general cost functions
In: Annals of PDE, 7 (2021) 2, p. 17inJournal
2020
Repository Open Access
Effective multipoles in random media
In: Communications in partial differential equations, 45 (2020) 6, pp. 561-640inJournal
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
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, e2296inJournal
2020
Journal Open Access
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
Journal Open Access
Editorial
In: Archive for rational mechanics and analysis, 235 (2020) 1, pp. 1-2inJournal
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
Repository Open Access
The magnetization ripple : a nonlocal stochastic PDE perspective
In: Journal de mathématiques pures et appliquées, 130 (2019), pp. 157-199inJournal
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
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
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. 317-375Preprint
2018
Repository Open Access
The quantitative hydrodynamic limit of the Kawasaki dynamics
Preprint
2018
Repository Open Access
Toward a quantitative theory of the hydrodynamic limit
Preprint
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
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
Repository Open Access
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
Repository Open Access
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)
Preprint
2018
Repository Open Access
Parabolic equations with rough coefficients and singular forcing
inJournal
2018
Journal Open Access
The impact of the SIAM Journal on Mathematical Analysis' most popular paper
In: SIAM news, 51 (2018) 5, pp. 9-9Book
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)
Preprint
2017
Liouville properties and error estimates for elliptic equations in exterior domains
inBook
2017
Repository Open Access
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)
inJournal
2017
Repository Open Access
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
Journal Open Access
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
Journal Open Access
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. 220-255inJournal
2017
Repository Open Access
Quantitative results on the corrector equation in stochastic homogenization
In: Journal of the European Mathematical Society, 19 (2017) 11, pp. 3489-3548Preprint
2017
Repository Open Access
A numerical primer in 2D stochastic homogenization : CLT scaling in the representative volume element
inJournal
2017
Repository Open Access
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
Repository Open Access
Limitations of the background field method applied to Rayleigh-Bénard convection
In: Journal of mathematical physics, 58 (2017) 9, p. 093102inJournal
2017
Repository Open Access
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
Repository Open Access
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
Repository Open Access
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)
inJournal
2016
Repository Open Access
Corrector estimates for elliptic systems with random periodic coefficients
In: Multiscale modeling and simulation, 14 (2016) 4, pp. 1434-1462inJournal
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
Repository Open Access
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
Repository Open Access
Upper bounds on Nusselt number at finite Prandtl number
In: Journal of differential equations, 260 (2016) 4, pp. 3860-3880inJournal
2016
Repository Open Access
Interpolation inequalities in pattern formation
In: Journal of functional analysis, 271 (2016) 11, pp. 3348-3392inJournal
2016
Repository Open Access
Branched microstructures in the Ginzburg-Landau model of type-I superconductors
In: SIAM journal on mathematical analysis, 48 (2016) 4, pp. 2994-3034inJournal
2016
Repository Open Access
Interacting tails of asymmetric domain walls : theory and experiments
In: Physical review / B, 93 (2016) 2, p. 024414inJournal
2016
Repository Open Access
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
Journal Open Access
A higher-order large-scale regularity theory for random elliptic operators
In: Communications in partial differential equations, 41 (2016) 7, pp. 1108-1148inJournal
2016
Repository Open Access
Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
In: Nonlinearity, 29 (2016) 9, pp. 2497-2536inJournal
2016
Journal Open Access
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
Repository Open Access
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
Repository Open Access
Correlation structure of the corrector in stochastic homogenization
In: The annals of probability, 44 (2016) 5, pp. 3207-3233inJournal
2016
Repository Open Access
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
2015
Repository Open Access
Threshold dynamics for networks with arbitrary surface tensions
In: Communications on pure and applied mathematics, 68 (2015) 5, pp. 808-864inJournal
2015
Repository Open Access
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
Repository Open Access
Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics
In: Inventiones mathematicae, 199 (2015) 2, pp. 455-515inJournal
2015
Journal Open Access
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
In: ESAIM / Proceedings, 48 (2015), pp. 80-97Preprint
2015
Repository Open Access
The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations
inJournal
2015
Repository Open Access
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations
In: Communications in partial differential equations, 40 (2015) 12, pp. 2237-2265inJournal
2015
Journal Open Access
Moment bounds for the corrector in stochastic homogenization of a percolation model
In: Electronic journal of probability, 20 (2015), p. 106Preprint
2015
Repository Open Access
An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
inJournal
2015
Repository Open Access
On annealed elliptic Green's function estimates
In: Mathematica bohemica, 140 (2015) 4, pp. 489-506inJournal
2015
Repository Open Access
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
Repository Open Access
Hölder regularity for a non-linear parabolic equation driven by space-time white noise
inJournal
2014
Repository Open Access
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
Repository Open Access
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
Repository Open Access
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
In: ESAIM / Mathematical modelling and numerical analysis, 48 (2014) 2, pp. 325-346Preprint
2014
Quantitative theory in stochastic homogenization
inJournal
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
Repository Open Access
Annealed estimates on the Green function
In: Probability theory and related fields, 163 (2014) 3-4, pp. 527-573inJournal
2014
Repository Open Access
Effektive Beschreibung von heterogenen Medien
In: Jahrbuch der Max-Planck-Gesellschaft, 2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2014
Journal Open Access
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
Repository Open Access
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
Repository Open Access
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
Repository Open Access
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. 821-821inJournal
2013
Repository Open Access
Nucleation barriers for the cubic-to-tetragonal phase transformation
In: Communications on pure and applied mathematics, 66 (2013) 6, pp. 867-904inJournal
2013
Repository Open Access
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
Repository Open Access
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
Repository Open Access
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
Repository Open Access
Crossover of the coarsening rates in demixing of binary viscous liquids
In: Communications in mathematical sciences, 11 (2013) 2, pp. 441-464inJournal
2013
Repository Open Access
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
Repository Open Access
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
Repository Open Access
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
2012
A constrained model for MSMA
In: Advanced engineering materials, 14 (2012) 8, pp. 594-600inJournal
2012
Repository Open Access
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
Repository Open Access
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
inJournal
2012
Repository Open Access
An optimal error estimate in stochastic homogenization of discrete elliptic equations
In: The annals of applied probability, 22 (2012) 1, pp. 1-28inJournal
2012
Repository Open Access
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. 3620-3622inJournal
2012
Repository Open Access
Formation and coarsening of the concertina magnetization pattern in elongated thin-film elements
In: Physical review / B, 85 (2012) 10, p. 104407inJournal
2011
Repository Open Access
Upper bounds on coarsening rates in demixing binary viscous liquids
In: SIAM journal on mathematical analysis, 43 (2011) 1, pp. 114-134inJournal
2011
Journal Open Access
Generalised Einstein relation for hot Brownian motion
In: epl, 96 (2011) 6, p. 60009inJournal
2011
Repository Open Access
Domänen- und Wandmuster in ferromagnetischen Filmen
In: Jahrbuch der Max-Planck-Gesellschaft, 2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2011
Repository Open Access
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
Repository Open Access
An optimal variance estimate in stochastic homogenization of discrete elliptic equations
In: The annals of probability, 39 (2011) 3, pp. 779-856inJournal
2011
Repository Open Access
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
Repository Open Access
Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011
In: Oberwolfach reports, 8 (2011) 4, pp. 3145-3216inJournal
2011
Repository Open Access
Eine Fields-Medaille für Cedric Villani
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 19 (2011) 1, pp. 24-26inJournal
2011
Repository Open Access
Rayleigh-Bénard convection : improved bounds on the Nusselt number
In: Journal of mathematical physics, 52 (2011) 8, p. 083702inJournal
2011
Repository Open Access
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. 3160-3162inJournal
2010
Phase transitions : May 30th - June 5th, 2010 ; report no. 24/2010
In: Oberwolfach reports, 7 (2010) 2, pp. 1431-1484inJournal
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
Repository Open Access
Domain branching in uniaxial ferromagnets : asymptotic behavior of the energy
In: Calculus of variations and partial differential equations, 38 (2010) 1-2, pp. 135-181inJournal
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
Repository Open Access
The concertina pattern : from micromagnetics to domain theory
In: Calculus of variations and partial differential equations, 39 (2010) 1-2, pp. 139-181inJournal
2010
Repository Open Access
Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations
In: Communications in mathematical physics, 300 (2010) 2, pp. 301-315inJournal
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
2009
Uniform energy distribution for an isoperimetric problem with long-range interactions
In: Journal of the American Mathematical Society, 22 (2009) 2, pp. 569-605inJournal
2009
Repository Open Access
A rigidity result for a perturbation of the geometrically linear three-well problem
In: Communications on pure and applied mathematics, 62 (2009) 12, pp. 1632-1669inJournal
2009
Ostwald ripening of droplets : the role of migration
In: European journal of applied mathematics, 20 (2009) 1, pp. 1-67inJournal
2009
Repository Open Access
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
In: Annales de l'Institut Henri Poincaré / B, 45 (2009) 2, pp. 302-351inJournal
2009
A quantitative rigity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy [In: PDE and materials ; September 13th - September 19th, 2009 ; report no. 42/2009]
In: Oberwolfach reports, 6 (2009) 3, pp. 2391-2393inJournal
2009
Arbeitsgemeinschaft : Optimal transport and geometry ; March 29th - April 4th, 2009 ; report no. 18/2009
In: Oberwolfach reports, 6 (2009) 2, pp. 983-1018inJournal
2009
Journal Open Access
Optimal bounds on the Kuramoto-Sivashinsky equation
In: Journal of functional analysis, 257 (2009) 7, pp. 2188-2245inJournal
2009
Uniform energy distribution for a model of pattern formation [In: PDE and materials ; September 13th - September 19th, 2009 ; report no. 42/2009]
In: Oberwolfach reports, 6 (2009) 3, pp. 2397-2400Book
2008
Transport equations and multi-D hyperbolic conservation laws
Berlin : Springer, 2008. - xiv, 130(Lecture notes of the Unione Matematica Italiana ; 5)
ISBN: 978-3-540-76780-0, ISBN: 978-3-540-76781-7
inJournal
2008
Repository Open Access
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor
In: Communications on pure and applied mathematics, 61 (2008) 5, pp. 595-626inBook
2008
Regularizing effect of nonlinearity in multidimensional scalar conservation laws
In: Transport equations and multi-D hyperbolic conservation laws / Luigi Ambrosio... (eds.)Berlin : Springer, 2008. - pp. 77-128
(Lecture notes of the Unione Matematica Italiana ; 5)
inBook
2008
Micro structures in thin coating layers : micro structure evolution and macroscopic contact angle
In: Mathematics - key technology for the future : joint projects between universities and industry, 2004 - 2007 / Willi Jäger... (eds.)Berlin [u. a.] : Springer, 2008. - pp. 75-97
inJournal
2008
Repository Open Access
Smooth zero-contact-angle solutions to a thin-film equation around the steady state
In: Journal of differential equations, 245 (2008) 6, pp. 1454-1506inBook
2008
Numerical methods for the simulation of epitaxial growth and their application in the study of a meander instability
In: Mathematics - key technology for the future : joint projects between universities and industry, 2004 - 2007 / Willi Jäger... (eds.)Berlin [u. a.] : Springer, 2008. - pp. 53-73
inBook
2008
Suspensions of rod-like molecules : a FV-ELLAM-type discretization of the Smoluchowski equation describing the orientation of rod-like molecules
In: Finite volumes for complex applications V : proceedings of the 5th International Symposium held in Aussois, June 2008 / Robert Eymard... (eds.)London : ISTE, 2008. - pp. 495-502
inJournal
2008
Repository Open Access
A compactness result in thin-film micromagnetics and the optimality of the Néel wall
In: Journal of the European Mathematical Society, 10 (2008) 4, pp. 909-956inJournal
2008
Repository Open Access
Continuity of velocity gradients in suspensions of rod-like molecules
In: Communications in mathematical physics, 277 (2008) 3, pp. 729-758inJournal
2008
Pattern formation and partial differential equations [In: Dynamics of patterns ; December 14th - December 20th, 2008 ; report no. 57/2008]
In: Oberwolfach reports, 5 (2008) 4, pp. 3259-3261inJournal
2008
Computation of free energy differences [In: Atomistic models of materials : mathematical challenges ; April 27th - May 3rd, 2008 ; report no. 21/2008]
In: Oberwolfach reports, 5 (2008) 2, pp. 1087-1088inJournal
2007
Repository Open Access