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Felix Otto - Publications

Explore the scholarly works of Felix Otto. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover the latest research through preprints.


Preprint
2024 Repository Open Access
Lucas Broux, Felix Otto and Markus Tempelmayr

Lecture notes on Malliavin calculus in regularity structures

Preprint
2024 Repository Open Access
Peter S. Morfe, Felix Otto and Christian Wagner

The Gaussian free-field as a stream function: continuum version of the scale-by-scale homogenization result

Preprint
2024 Repository Open Access
Felix Otto and Christian Wagner

A critical drift-diffusion equation : intermittent behavior

inJournal
2023 Journal Open Access
Nicolas Clozeau, Marc Josien, Felix Otto and Qiang Xu

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

In: Foundations of computational mathematics, (2023)
inJournal
2023 Repository Open Access
Benjamin Gess, Rishabh S. Gvalani, Florian Kunick and Felix Otto

Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise

In: Mathematics of computation, 92 (2023), pp. 1931-1976
Preprint
2023 Repository Open Access
Michael Goldman, Martin Huesmann and Felix Otto

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

Preprint
2023 Repository Open Access
Martin Huesmann, Francesco Mattesini and Felix Otto

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

inJournal
2023 Journal Open Access
Martin Huesmann, Francesco Mattesini and Felix Otto

There is no stationary cyclically monotone Poisson matching in 2d

In: Probability theory and related fields, 187 (2023) 3/4, pp. 629-656
inJournal
2023 Repository Open Access
Radu Ignat, Felix Otto, Tobias Ried and Pavlos Tsatsoulis

Variational methods for a singular SPDE yielding the universality of the magnetization ripple

In: Communications on pure and applied mathematics, 76 (2023) 11, pp. 2959-3043
Preprint
2023 Repository Open Access
Lukas Koch and Felix Otto

Lecture notes on the harmonic approximation to quadratic optimal transport

inJournal
2023 Journal Open Access
Pablo Linares, Felix Otto and Markus Tempelmayr

The structure group for quasi-linear equations via universal enveloping algebras

In: Communications of the American Mathematical Society, 3 (2023), pp. 1-64
Preprint
2023 Repository Open Access
Felix Otto, Richard Schubert and Maria G. Westdickenberg

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

inJournal
2023 Journal Open Access
Felix Otto, Kihoon Seong and Markus Tempelmayr

Lecture notes on tree-free regularity structures

In: Matemática contemporÒanea, 58 (2023), pp. 150-196
inJournal
2022 Repository Open Access
Katarína Bellová, Antoine Julia and Felix Otto

Uniform energy distribution in a pattern-forming system of surface charges

In: Revista Matemática Iberoamericana, 38 (2022) 3, pp. 783-822
Preprint
2022 Repository Open Access
Georgiana Chatzigeorgiou, Peter S. Morfe, Felix Otto and Lihan Wang

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

inJournal
2022 Journal Open Access
Arianna Giunti and Felix Otto

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. 403-404
inJournal
2022 Journal Open Access
Arianna Giunti and Felix Otto

On the existence of the Green function for elliptic systems in divergence form

In: Manuscripta mathematica, 167 (2022) 1/2, pp. 385-402
inJournal
2022 Repository Open Access
Antoine Gloria and Felix Otto

Arbeitsgemeinschaft : Quantitative stochastic homogenization ; 16 October - 22 October 2022 ; report no. 48/2022

In: Oberwolfach reports, 19 (2022) 4, pp. 2741-2809
inJournal
2022 Repository Open Access
Marc Josien and Felix Otto

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

In: Journal of functional analysis, 283 (2022) 7, p. 109594
Preprint
2022 Repository Open Access
Pablo Linares and Felix Otto

A tree-free approach to regularity structures : the regular case for quasi-linear equations

inJournal
2022 Journal Open Access
Matti Schneider, Marc Josien and Felix Otto

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. 104652
inJournal
2021 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

Quantitative estimates in stochastic homogenization for correlated coefficient fields

In: Analysis and PDE, 14 (2021) 8, pp. 2497-2537
inJournal
2021 Repository Open Access
Michael Goldman, Martin Huesmann and Felix Otto

Quantitative linearization results for the Monge-Ampère equation

In: Communications on pure and applied mathematics, 74 (2021) 12, pp. 2483-2560
Preprint
2021 Repository Open Access
Pablo Linares, Felix Otto, Markus Tempelmayr and Pavlos Tsatsoulis

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

inJournal
2021 Repository Open Access
Jianfeng Lu and Felix Otto

Optimal artificial boundary condition for random elliptic media

In: Foundations of computational mathematics, 21 (2021) 6, pp. 1643-1702
Preprint
2021 Repository Open Access
Jianfeng Lu, Felix Otto and Lihan Wang

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

inJournal
2021 Repository Open Access
Tatsuya Miura and Felix Otto

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

In: Advances in mathematics, 381 (2021), p. 107603
Preprint
2021 Repository Open Access
Felix Otto, Jonas Sauer, Scott A. Smith and Hendrik Weber

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

inJournal
2021 Journal Open Access
Felix Otto, Maxime Prod'homme and Tobias Ried

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

In: Annals of PDE, 7 (2021) 2, p. 17
inJournal
2020 Repository Open Access
Peter Bella, Arianna Giunti and Felix Otto

Effective multipoles in random media

In: Communications in partial differential equations, 45 (2020) 6, pp. 561-640
inJournal
2020 Repository Open Access
Mitia Duerinckx and Felix Otto

Higher-order pathwise theory of fluctuations in stochastic homogenization

In: Stochastics and partial differential equations : analysis and computations, 8 (2020) 3, pp. 625-692
inJournal
2020 Repository Open Access
Mitia Duerinckx, Antoine Gloria and Felix Otto

Robustness of the pathwise structure of fluctuations in stochastic homogenization

In: Probability theory and related fields, 178 (2020) 1/2, pp. 531-566
inJournal
2020 Repository Open Access
Mitia Duerinckx, Antoine Gloria and Felix Otto

The structure of fluctuations in stochastic homogenization

In: Communications in mathematical physics, 377 (2020) 1, pp. 259-306
inJournal
2020 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

A regularity theory for random elliptic operators

In: Milan journal of mathematics, 88 (2020) 1, pp. 99-170
inJournal
2020 Repository Open Access
Michael Goldman and Felix Otto

A variational proof of partial regularity for optimal transportation maps

In: Annales scientifiques de l'Ecole Normale Supérieure, 53 (2020) 5, pp. 1209-1233
inJournal
2020 Journal Open Access
Venera Khoromskaia, Boris N. Khoromskij and Felix Otto

Numerical study in stochastic homogenization for elliptic partial differential equations : convergence rate in the size of representative volume elements

In: Numerical linear algebra with applications, 27 (2020) 3, e2296
inJournal
2020 Journal Open Access
Tim Bastian Laux and Felix Otto

Brakke's inequality for the thresholding scheme

In: Calculus of variations and partial differential equations, 59 (2020) 1, p. 39
inBook
2020 Repository Open Access
Tim Bastian Laux and Felix Otto

The thresholding scheme for mean curvature flow and De Giorgi's ideas for minimizing movements

In: The role of metrics in the theory of partial differential equations : proceedings ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)
Tokyo : Mathematical Society of Japan, 2020. - pp. 63-93
(Advanced studies in pure mathematics ; 85)
inJournal
2020 Journal Open Access
Felix Otto and Vladimír Šverák

Editorial

In: Archive for rational mechanics and analysis, 235 (2020) 1, pp. 1-2
inJournal
2019 Repository Open Access
Olga Chugreeva, Felix Otto and Maria G. Westdickenberg

Relaxation to a planar interface in the Mullins-Sekerka problem

In: Interfaces and free boundaries, 21 (2019) 1, pp. 21-40
inJournal
2019 Repository Open Access
Radu Ignat and Felix Otto

The magnetization ripple : a nonlocal stochastic PDE perspective

In: Journal de mathématiques pures et appliquées, 130 (2019), pp. 157-199
inJournal
2019
Hans Knüpfer and Felix Otto

Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence of self-accommodation

In: Zeitschrift für angewandte Mathematik und Mechanik, 99 (2019) 2, e201800179
inJournal
2019 Repository Open Access
Felix Otto, Michael Goldman and Marc Josien

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

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

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

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

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

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

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

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

Quasi-linear SPDEs in divergence form

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

Quasilinear SPDEs via rough paths

In: Archive for rational mechanics and analysis, 232 (2019) 2, pp. 873-950
inJournal
2018 Repository Open Access
Peter Bella, Benjamin J. Fehrman and Felix Otto

A Liouville theorem for elliptic systems with degenerate ergodic coefficients

In: The annals of applied probability, 28 (2018) 3, pp. 1379-1422
inJournal
2018 Journal Open Access
Sergio Conti, Michael Goldman, Felix Otto and Sylvia Serfaty

A branched transport limit of the Ginzburg-Landau functional

In: Journal de l'Ecole polytechnique : mathématiques, 5 (2018), pp. 317-375
Preprint
2018 Repository Open Access
Deniz Dizdar, Georg Menz, Felix Otto and Tianqi Wu

The quantitative hydrodynamic limit of the Kawasaki dynamics

Preprint
2018 Repository Open Access
Deniz Dizdar, Georg Menz, Felix Otto and Tianqi Wu

Toward a quantitative theory of the hydrodynamic limit

Preprint
2018 Repository Open Access
Michael Goldman, Martin Huesmann and Felix Otto

A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem

inJournal
2018 Repository Open Access
Xavier Lamy and Felix Otto

On the regularity of weak solutions to Burgers' equation with finite entropy production

In: Calculus of variations and partial differential equations, 57 (2018) 4, p. 94
inJournal
2018 Repository Open Access
Felix Otto, Michael Goldman and Martin Huesmann

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

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

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

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

Nonlinear partial differential equations and interfacial motions as gradient flow

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

Parabolic equations with rough coefficients and singular forcing

inJournal
2018 Journal Open Access
Felix Otto

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

In: SIAM news, 51 (2018) 5, pp. 9-9
Book
2017
John M. Ball, Eduard Feireisl and Felix Otto

Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015

Cham : Springer, 2017. - ix, 145
(Lecture notes in mathematics ; 2200)
ISBN: 978-3-319-67600-5, ISBN: 978-3-319-67599-2, ISSN: 0075-8434
inBook
2017
John M. Ball, Eduard Feireisl and Felix Otto

Preface to CIME lecture notes

In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015
Cham : Springer, 2017. - v-vii
(Lecture notes in mathematics ; 2200)
Preprint
2017
Peter Bella, Arianna Giunti and Felix Otto

Liouville properties and error estimates for elliptic equations in exterior domains

inBook
2017 Repository Open Access
Peter Bella, Arianna Giunti and Felix Otto

Quantitative stochastic homogenization : local control of homogenization error through corrector

In: Mathematics and materials / Mark J. Bowick... (eds.)
Providence, RI : American mathematical society, 2017. - pp. 301-327
(IAS/Park City mathematics series ; 23)
inJournal
2017 Repository Open Access
Peter Bella, Benjamin J. Fehrman, Julian Fischer and Felix Otto

Stochastic homogenization of linear elliptic equations : higher-order error estimates in weak norms via second-order correctors

In: SIAM journal on mathematical analysis, 49 (2017) 6, pp. 4658-4703
inJournal
2017 Journal Open Access
Joseph G. Conlon, Arianna Giunti and Felix Otto

Green's function for elliptic systems : existence and Delmotte-Deuschel bounds

In: Calculus of variations and partial differential equations, 56 (2017) 6, p. 163
inJournal
2017 Journal Open Access
Julian Fischer and Felix Otto

Sublinear growth of the corrector in stochastic homogenization : optimal stochastic estimates for slowly decaying correlations

In: Stochastics and partial differential equations : analysis and computations, 5 (2017) 2, pp. 220-255
inJournal
2017 Repository Open Access
Antoine Gloria and Felix Otto

Quantitative results on the corrector equation in stochastic homogenization

In: Journal of the European Mathematical Society, 19 (2017) 11, pp. 3489-3548
Preprint
2017 Repository Open Access
Venera Khoromskaia, Boris N. Khoromskij and Felix Otto

A numerical primer in 2D stochastic homogenization : CLT scaling in the representative volume element

inJournal
2017 Repository Open Access
Tim Bastian Laux and Felix Otto

Kornwachstum in Polykristallen: Algorithmen für den mittleren Krümmungsfluss

In: Jahrbuch der Max-Planck-Gesellschaft, 2017 (2017), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
inJournal
2017 Repository Open Access
Camilla Nobili and Felix Otto

Limitations of the background field method applied to Rayleigh-Bénard convection

In: Journal of mathematical physics, 58 (2017) 9, p. 093102
inJournal
2017 Repository Open Access
Felix Otto and Tim Bastian Laux

Brakke - de Giorgi - Osher [In: Variational methods for evolution ; 12 November - 18 November 2017 ; report no. 54/2017]

In: Oberwolfach reports, 14 (2017) 4, pp. 3219-3222
inJournal
2017 Repository Open Access
Felix Otto, Peter Bella and Arianna Giunti

Effective multipole expansion in random media [In: Material theories ; 16 July - 22 July 2017 ; report no. 33/2017]

In: Oberwolfach reports, 14 (2017) 3, pp. 2068-2071
inJournal
2017 Repository Open Access
Felix Otto and Michael Goldman

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

In: Oberwolfach reports, 14 (2017) 1, pp. 345-347
inBook
2017
Felix Otto, Steffen Pottel and Camilla Nobili

Rigorous bounds on scaling laws in fluid dynamics

In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3, 2015
Cham : Springer, 2017. - pp. 101-145
(Lecture notes in mathematics ; 2200)
inJournal
2016 Repository Open Access
Peter Bella and Felix Otto

Corrector estimates for elliptic systems with random periodic coefficients

In: Multiscale modeling and simulation, 14 (2016) 4, pp. 1434-1462
inJournal
2016
Björn Bringmann, Lorenzo Giacomelli, Hans Knüpfer and Felix Otto

Corrigendum to 'Smooth zero-contact-angle solutions to a thin-film equation around the steady state' (J. Differential equations 245 (2008) 1454-1506)

In: Journal of differential equations, 261 (2016) 2, pp. 1622-1635
inJournal
2016 Repository Open Access
Antoine Choffrut, Camilla Nobili and Felix Otto

A maximal regularity estimate for the non-stationary Stokes equation in the strip

In: Journal of differential equations, 260 (2016) 7, pp. 5589-5626
inJournal
2016 Repository Open Access
Antoine Choffrut, Camilla Nobili and Felix Otto

Upper bounds on Nusselt number at finite Prandtl number

In: Journal of differential equations, 260 (2016) 4, pp. 3860-3880
inJournal
2016 Repository Open Access
Eleonora Cinti and Felix Otto

Interpolation inequalities in pattern formation

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

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

In: SIAM journal on mathematical analysis, 48 (2016) 4, pp. 2994-3034
inJournal
2016 Repository Open Access
Lukas Döring, Claudia Hengst, Felix Otto and Rudolf Schäfer

Interacting tails of asymmetric domain walls : theory and experiments

In: Physical review / B, 93 (2016) 2, p. 024414
inJournal
2016 Repository Open Access
Lukas Döring, Radu Ignat and Felix Otto

Topology and hysteretic domain-wall transitions in ferromagnets [In: Mechanics of materials : mechanics of interfaces and evolving microstructure ; 13 March - 19 March ; report no. 17/2016]

In: Oberwolfach reports, 13 (2016) 1, pp. 817-818
inJournal
2016 Journal Open Access
Julian Fischer and Felix Otto

A higher-order large-scale regularity theory for random elliptic operators

In: Communications in partial differential equations, 41 (2016) 7, pp. 1108-1148
inJournal
2016 Repository Open Access
Lorenzo Giacomelli, Manuel V. Gnann and Felix Otto

Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law

In: Nonlinearity, 29 (2016) 9, pp. 2497-2536
inJournal
2016 Journal Open Access
Tim Bastian Laux and Felix Otto

Convergence of the thresholding scheme for multi-phase mean-curvature flow

In: Calculus of variations and partial differential equations, 55 (2016) 5, p. 129
inJournal
2016 Repository Open Access
Jean-Christophe Mourrat and Felix Otto

Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments

In: Journal of functional analysis, 270 (2016) 1, pp. 201-228
inJournal
2016 Repository Open Access
Jean-Christophe Mourrat and Felix Otto

Correlation structure of the corrector in stochastic homogenization

In: The annals of probability, 44 (2016) 5, pp. 3207-3233
inJournal
2016 Repository Open Access
Felix Otto, Lukas Döring and Radu Ignat

The magnetization ripple revisited [In: Mini-workshop : mathematics of magnetoelastic materials ; 30 October - 5 November 2016 ; report no. 51/2016]

In: Oberwolfach reports, 13 (2016) 4, pp. 2917-2919
inJournal
2015 Repository Open Access
Selim Esedoglu and Felix Otto

Threshold dynamics for networks with arbitrary surface tensions

In: Communications on pure and applied mathematics, 68 (2015) 5, pp. 808-864
inJournal
2015 Repository Open Access
Elias Esselborn, Nicola Gigli and Felix Otto

Algebraic contraction rate for distance between entropy solutions of scalar conservation laws

In: Journal of mathematical analysis and applications, 435 (2015) 2, pp. 1525-1551
inJournal
2015 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral gap on Glauber dynamics

In: Inventiones mathematicae, 199 (2015) 2, pp. 455-515
inJournal
2015 Journal Open Access
Antoine Gloria and Felix Otto

Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization

In: ESAIM / Proceedings, 48 (2015), pp. 80-97
Preprint
2015 Repository Open Access
Antoine Gloria and Felix Otto

The corrector in stochastic homogenization : optimal rates, stochastic integrability, and fluctuations

inJournal
2015 Repository Open Access
Michael Goldman, Marc Josien and Felix Otto

New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations

In: Communications in partial differential equations, 40 (2015) 12, pp. 2237-2265
inJournal
2015 Journal Open Access
Agnes Lamacz, Stefan Neukamm and Felix Otto

Moment bounds for the corrector in stochastic homogenization of a percolation model

In: Electronic journal of probability, 20 (2015), p. 106
Preprint
2015 Repository Open Access
Jianfeng Lu and Felix Otto

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

inJournal
2015 Repository Open Access
Daniel Marahrens and Felix Otto

On annealed elliptic Green's function estimates

In: Mathematica bohemica, 140 (2015) 4, pp. 489-506
inJournal
2015 Repository Open Access
Stefan Neukamm, Antoine Gloria and Felix Otto

Quantitative stochastic homogenization of elliptic equations [In: Interplay of analysis and probability in applied mathematics ; 26 July - 1 August 2015 ; report no. 35/2015]

In: Oberwolfach reports, 12 (2015) 3, pp. 2030-2033
Preprint
2015 Repository Open Access
Felix Otto and Hendrik Weber

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

inJournal
2014 Repository Open Access
Lukas Döring, Radu Ignat and Felix Otto

A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types

In: Journal of the European Mathematical Society, 16 (2014) 7, pp. 1377-1422
inJournal
2014 Repository Open Access
Lorenzo Giacomelli, Manuel V. Gnann, Hans Knüpfer and Felix Otto

Well-posedness for the Navier-Slip thin-film equation in the case of complete wetting

In: Journal of differential equations, 257 (2014) 1, pp. 15-81
inJournal
2014 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations

In: ESAIM / Mathematical modelling and numerical analysis, 48 (2014) 2, pp. 325-346
Preprint
2014
Antoine Gloria and Felix Otto

Quantitative theory in stochastic homogenization

inJournal
2014
Jianfeng Lu and Felix Otto

Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model

In: Communications on pure and applied mathematics, 67 (2014) 10, pp. 1605-1617
inJournal
2014 Repository Open Access
Daniel Marahrens and Felix Otto

Annealed estimates on the Green function

In: Probability theory and related fields, 163 (2014) 3-4, pp. 527-573
inJournal
2014 Repository Open Access
Daniel Marahrens and Felix Otto

Effektive Beschreibung von heterogenen Medien

In: Jahrbuch der Max-Planck-Gesellschaft, 2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
inJournal
2014 Journal Open Access
Felix Otto, Hendrik Weber and Maria G. Westdickenberg

Invariant measure of the stochastic Allen-Cahn equation : the regime of small noise and large system size

In: Electronic journal of probability, 19 (2014), p. 23
inJournal
2014
Felix Otto and Maria G. Westdickenberg

Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation

In: SIAM journal on mathematical analysis, 46 (2014) 1, pp. 720-756
inJournal
2013 Repository Open Access
Lorenzo Giacomelli, Manuel V. Gnann and Felix Otto

Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3

In: European journal of applied mathematics, 24 (2013) 5, pp. 735-760
inJournal
2013 Repository Open Access
Nicola Gigli and Felix Otto

Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric

In: Calculus of variations and partial differential equations, 47 (2013) 1-2, pp. 181-206
inJournal
2013 Repository Open Access
Antoine Gloria, Stefan Neukamm and Felix Otto

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

In: Oberwolfach reports, 10 (2013) 1, pp. 821-821
inJournal
2013 Repository Open Access
Hans Knüpfer, Robert V. Kohn and Felix Otto

Nucleation barriers for the cubic-to-tetragonal phase transformation

In: Communications on pure and applied mathematics, 66 (2013) 6, pp. 867-904
inJournal
2013 Repository Open Access
Daniel Marahrens and Felix Otto

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

In: Oberwolfach reports, 10 (2013) 4, pp. 3352-3354
inJournal
2013 Repository Open Access
Georg Menz and Felix Otto

Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential

In: The annals of probability, 41 (2013) 3B, pp. 2182-2224
inJournal
2013 Repository Open Access
Felix Otto

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

In: Oberwolfach reports, 10 (2013) 1, pp. 848-849
inJournal
2013 Repository Open Access
Felix Otto, Christian Seis and Dejan Slepčev

Crossover of the coarsening rates in demixing of binary viscous liquids

In: Communications in mathematical sciences, 11 (2013) 2, pp. 441-464
inJournal
2013 Repository Open Access
Felix Otto

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

In: Oberwolfach reports, 10 (2013) 4, pp. 3443-3443
inJournal
2013 Repository Open Access
Felix Otto, Christian Seis and Camilla Nobili

Rayleigh-Bénard convection : bounds on the Nusselt number [In: Geophysical fluid dynamics ; 17 February - 23 February 2013 ; report no. 10/2013]

In: Oberwolfach reports, 10 (2013) 1, pp. 544-545
inJournal
2013 Repository Open Access
Felix Otto and Maria G. Westdickenberg

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

In: Oberwolfach reports, 10 (2013) 4, pp. 3363-3363
inJournal
2012
Antonio Capella, Stefan Müller and Felix Otto

A constrained model for MSMA

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

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

In: Proceedings of the Royal Society of Edinburgh / A, 142 (2012) 2, pp. 273-327
inBook
2012 Repository Open Access
Lukas Döring, Elias Esselborn, Samuel Ferraz-Leite and Felix Otto

Domain configurations in soft ferromagnetic films under external field

In: Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, February 15 - 17, 2012
Vienna : International Federation of Automatic Control, 2012. - pp. 498-503
inJournal
2012 Repository Open Access
Antoine Gloria and Felix Otto

An optimal error estimate in stochastic homogenization of discrete elliptic equations

In: The annals of applied probability, 22 (2012) 1, pp. 1-28
inJournal
2012 Repository Open Access
Felix Otto

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

In: Oberwolfach reports, 9 (2012) 4, pp. 3620-3622
inJournal
2012 Repository Open Access
Jutta Steiner, Rudolf Schäfer, Holm Wieczorek, Jeffrey McCord and Felix Otto

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

In: Physical review / B, 85 (2012) 10, p. 104407
inJournal
2011 Repository Open Access
Yann Brenier, Felix Otto and Christian Seis

Upper bounds on coarsening rates in demixing binary viscous liquids

In: SIAM journal on mathematical analysis, 43 (2011) 1, pp. 114-134
inJournal
2011 Journal Open Access
D. Chakraborty, Manuel V. Gnann, D. Rings, J. Glaser, Felix Otto, Frank Cichos and Klaus Kroy

Generalised Einstein relation for hot Brownian motion

In: epl, 96 (2011) 6, p. 60009
inJournal
2011 Repository Open Access
Lukas Döring, Felix Otto and Jutta Steiner

Domänen- und Wandmuster in ferromagnetischen Filmen

In: Jahrbuch der Max-Planck-Gesellschaft, 2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
inJournal
2011 Repository Open Access
Selim Esedoglu and Felix Otto

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

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

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

In: The annals of probability, 39 (2011) 3, pp. 779-856
inJournal
2011 Repository Open Access
Radu Ignat and Felix Otto

A compactness result for Landau state in thin-film micromagnetics

In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 2, pp. 247-282
inJournal
2011 Repository Open Access
Alexander Mielke, Felix Otto, Giuseppe Savaré and Ulisse Stefanelli

Variational methods for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011

In: Oberwolfach reports, 8 (2011) 4, pp. 3145-3216
inJournal
2011 Repository Open Access
Felix Otto

Eine Fields-Medaille für Cedric Villani

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

Rayleigh-Bénard convection : improved bounds on the Nusselt number

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

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

In: Oberwolfach reports, 8 (2011) 4, pp. 3160-3162
inJournal
2010
Kaushik Bhattacharya, Dmitri Ioffe, Stephan Luckhaus and Felix Otto

Phase transitions : May 30th - June 5th, 2010 ; report no. 24/2010

In: Oberwolfach reports, 7 (2010) 2, pp. 1431-1484
inJournal
2010
Felix Otto

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

In: Oberwolfach reports, 7 (2010) 3, pp. 1833-1835
inJournal
2010 Repository Open Access
Felix Otto and Thomas Viehmann

Domain branching in uniaxial ferromagnets : asymptotic behavior of the energy

In: Calculus of variations and partial differential equations, 38 (2010) 1-2, pp. 135-181
inJournal
2010
Felix Otto and Georg Menz

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

In: Oberwolfach reports, 7 (2010) 4, pp. 3210-3212
inJournal
2010 Repository Open Access
Felix Otto and Jutta Steiner

The concertina pattern : from micromagnetics to domain theory

In: Calculus of variations and partial differential equations, 39 (2010) 1-2, pp. 139-181
inJournal
2010 Repository Open Access
Felix Otto and Fabio Ramos

Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations

In: Communications in mathematical physics, 300 (2010) 2, pp. 301-315
inJournal
2010
Dejan Slepčev, Eva Eggeling, Matt Elsey, Karl Glasner, Felix Otto, Tobias Rump and Shlomo Taasan

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

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

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

In: Oberwolfach reports, 7 (2010) 2, pp. 1480-1480
inJournal
2009
Giovanni Alberti, Rustum Choksi and Felix Otto

Uniform energy distribution for an isoperimetric problem with long-range interactions

In: Journal of the American Mathematical Society, 22 (2009) 2, pp. 569-605
inJournal
2009 Repository Open Access
Antonio Capella and Felix Otto

A rigidity result for a perturbation of the geometrically linear three-well problem

In: Communications on pure and applied mathematics, 62 (2009) 12, pp. 1632-1669
inJournal
2009
Karl Glasner, Felix Otto, Tobias Rump and Dejan Slepčev

Ostwald ripening of droplets : the role of migration

In: European journal of applied mathematics, 20 (2009) 1, pp. 1-67
inJournal
2009 Repository Open Access
Natalie Grunewald, Felix Otto, Cédric Villani and Maria G. Westdickenberg

A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit

In: Annales de l'Institut Henri Poincaré / B, 45 (2009) 2, pp. 302-351
inJournal
2009
Felix Otto and Antonio Capella

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. 2391-2393
inJournal
2009
Felix Otto and Karl-Theodor Sturm

Arbeitsgemeinschaft : Optimal transport and geometry ; March 29th - April 4th, 2009 ; report no. 18/2009

In: Oberwolfach reports, 6 (2009) 2, pp. 983-1018
inJournal
2009 Journal Open Access
Felix Otto

Optimal bounds on the Kuramoto-Sivashinsky equation

In: Journal of functional analysis, 257 (2009) 7, pp. 2188-2245
inJournal
2009
Felix Otto, Giovanni Alberti and Rustum Choksi

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. 2397-2400
Book
2008
Luigi Ambrosio, Gianluca Crippa, Camillo De Lellis, Felix Otto and Michael Westdickenberg (Eds.)

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
Rustum Choksi, Sergio Conti, Robert V. Kohn and Felix Otto

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. 595-626
inBook
2008
Gianluca Crippa, Felix Otto and Michael Westdickenberg

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
Julia Dohmen, Natalie Grunewald, Felix Otto and Martin Rumpf

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
Lorenzo Giacomelli, Hans Knüpfer and Felix Otto

Smooth zero-contact-angle solutions to a thin-film equation around the steady state

In: Journal of differential equations, 245 (2008) 6, pp. 1454-1506
inBook
2008
Frank Haußer, Felix Otto, Patrick Penzler and Axel Voigt

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
Christiane Helzel, Jorrit Kirsten and Felix Otto

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
Radu Ignat and Felix Otto

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. 909-956
inJournal
2008 Repository Open Access
Felix Otto and Athanasios Tzavaras

Continuity of velocity gradients in suspensions of rod-like molecules

In: Communications in mathematical physics, 277 (2008) 3, pp. 729-758
inJournal
2008
Felix Otto

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. 3259-3261
inJournal
2008
Gabriel Stoltz, Tony Lelièvre, Felix Otto and Mathias Rousset

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. 1087-1088
inJournal
2007 Repository Open Access
Rubén Cantero-Álvarez, Felix Otto and Jutta Steiner

The concertina pattern : a bifurcation in ferromagnetic thin films

In: Journal of nonlinear science, 17 (2007) 3, pp. 221-281
inJournal
2007 Repository Open Access
Antonio Capella, Christof Melcher and Felix Otto

Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls

In: Nonlinearity, 20 (2007) 11, pp. 2519-2537
inJournal
2007 Repository Open Access
Antonio DeSimone, Natalie Grunewald and Felix Otto

A new model for contact angle hysteresis

In: Networks and heterogeneous media, 2 (2007) 2, pp. 211-225
inJournal
2007 Repository Open Access
Robert V. Kohn, Felix Otto, Maria G. Westdickenberg and Eric Vanden-Eijnden

Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation

In: Communications on pure and applied mathematics, 60 (2007) 3, pp. 393-438
Preprint
2007