Edit Profile (opens in new tab) Otto, Felix Compute Distance To: Compute Author ID: otto.felix Published as: Otto, Felix; Otto, F.; Otto, Félix more...less External Links: MGP · Wikidata · GND Documents Indexed: 150 Publications since 1995 4 Contributions as Editor · 2 Further Contributions Co-Authors: 102 Co-Authors with 140 Joint Publications 2,386 Co-Co-Authors all top 5 Co-Authors 14 single-authored 12 Kohn, Robert Vita 10 Gloria, Antoine 9 DeSimone, Antonio 9 Giacomelli, Lorenzo 8 Niethammer, Barbara 7 Müller, Stefan 6 Conti, Sergio 5 Bella, Peter 5 Knüpfer, Hans 5 Neukamm, Stefan 5 Westdickenberg, Maria G. 5 Westdickenberg, Michael 4 Choksi, Rustum 4 Giunti, Arianna 4 Goldman, Michael 4 Ignat, Radu 4 Jordan, Richard 4 Kinderlehrer, David 4 Nobili, Camilla 4 Reznikoff, Maria G. 4 Rump, Tobias 3 Cantero-Álvarez, Rubén 3 Capella, Antonio 3 De Lellis, Camillo 3 Duerinckx, Mitia 3 Fischer, Julian 3 Gnann, Manuel V. 3 Hönig, Andreas 3 Laux, Tim 3 Seis, Christian 3 Slepčev, Dejan 3 Villani, Cédric 3 Weber, Hendrik 2 Choffrut, Antoine 2 Fehrman, Benjamin J. 2 Gigli, Nicola 2 Grunewald, Natalie 2 Helzel, Christiane 2 Jabin, Pierre-Emmanuel 2 Lu, Jianfeng 2 Marahrens, Daniel 2 Menon, Govind K. 2 Mourrat, Jean-Christophe 2 Penzler, Patrick 2 Serfaty, Sylvia 2 Steiner, Jutta 1 Alberti, Giovanni 1 Ball, John MacLeod 1 Bellová, Katarína 1 Benninghofen, Benjamin 1 Bhattacharya, Kaushik 1 Brenier, Yann 1 Bringmann, Björn 1 Chugreeva, Olga 1 Cinti, Eleonora 1 Conlon, Joseph G. 1 Crippa, Gianluca 1 Davis, Stephen Howard 1 Doering, Charles Rogers 1 Dolzmann, Georg 1 Döring, Lukas 1 E, Weinan 1 Esedoglu, Selim 1 Esselborn, Elias 1 Feireisl, Eduard 1 Glasner, Karl B. 1 Henseler, Reiner Thorsten 1 Huesmann, Martin 1 Ioffe, Dmitry 1 Josien, Marc 1 Jourdain, Benjamin 1 Julia, Antoine 1 Kemmerich, Susanne 1 Khoromskaia, Venera 1 Khoromskiĭ, Boris Nikolaevich 1 Kirsten, Jorrit 1 Knabner, Peter 1 Kružík, Martin 1 Lamacz, Agnes 1 Lamy, Xavier 1 Le Bris, Claude 1 Lelièvre, Tony 1 Luckhaus, Stephan 1 Melcher, Christof 1 Menz, Georg 1 Mielke, Alexander 1 Miura, Tatsuya 1 Perthame, Benoît 1 Pottel, Steffen 1 Prod’homme, Maxime 1 Ramos, Fabio Tozeto 1 Rätz, Andreas 1 Richter, Michael M. 1 Ried, Tobias 1 Rocca, Elisabetta 1 Rubinstein, Boris Y. 1 Savaré, Giuseppe 1 Schäfer, Rudolf 1 Scholtes, Sebastian 1 Stefanelli, Ulisse ...and 8 more Co-Authors all top 5 Serials 12 Communications on Pure and Applied Mathematics 10 Calculus of Variations and Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Physics 7 Journal of Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Journal of Functional Analysis 5 Communications in Partial Differential Equations 4 Journal of Nonlinear Science 4 Journal of the European Mathematical Society (JEMS) 3 Journal of Statistical Physics 3 Nonlinearity 3 The Annals of Probability 3 Oberwolfach Reports 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematical Physics 2 Quarterly of Applied Mathematics 2 Physica D 2 Probability Theory and Related Fields 2 European Journal of Applied Mathematics 2 The Annals of Applied Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Electronic Journal of Probability 2 Interfaces and Free Boundaries 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Sciences 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Mathematica Bohemica 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Mathematical Sciences and Applications 1 Numerical Linear Algebra with Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Foundations of Computational Mathematics 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computer Science 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 The Journal of Chemical Physics 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 103 Partial differential equations (35-XX) 47 Statistical mechanics, structure of matter (82-XX) 39 Fluid mechanics (76-XX) 29 Probability theory and stochastic processes (60-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 24 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 10 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Differential geometry (53-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 3,896 times in 2,269 Documents Cited by ▼ Year ▼ The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 478 2001 The variational formulation of the Fokker-Planck equation. Zbl 0915.35120Jordan, Richard; Kinderlehrer, David; Otto, Felix 476 1998 Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Zbl 0985.58019Otto, F.; Villani, C. 302 2000 \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0862.35078Otto, Felix 110 1996 Initial-boundary value problem for a scalar conservation law. Zbl 0852.35013Otto, Felix 90 1996 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025Gloria, Antoine; Otto, Felix 90 2011 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020Gloria, A.; Neukamm, S.; Otto, F. 81 2015 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 60 2002 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031Gloria, Antoine; Otto, Felix 60 2012 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046Alberti, Giovanni; Choksi, Rustum; Otto, Felix 53 2009 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011Choksi, Rustum; Kohn, Robert V.; Otto, Felix 52 1999 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 52 2008 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072Esedoḡlu, Selim; Otto, Felix 52 2015 Lubrication approximation with prescribed nonzero contact angle. Zbl 0923.35211Otto, Felix 50 1998 Upper bounds on coarsening rates. Zbl 1004.82011Kohn, Robert V.; Otto, Felix 49 2002 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029Gloria, Antoine; Neukamm, Stefan; Otto, Felix 49 2014 Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. Zbl 0905.35068Otto, Felix 48 1998 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 48 2001 Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002Lu, Jianfeng; Otto, Felix 48 2014 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016Otto, Felix; Westdickenberg, Michael 45 2006 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032Gloria, Antoine; Otto, Felix 45 2017 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 42 2003 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 41 2006 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 39 2006 Variational formulation for the lubrication approximation of the Hele-Shaw flow. Zbl 1086.35004Giacomelli, Lorenzo; Otto, Felix 38 2001 Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H. 36 2003 New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113Giacomelli, Lorenzo; Otto, Felix 35 2005 Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix 35 2006 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 35 2008 Annealed estimates on the Green function. Zbl 1342.60101Marahrens, Daniel; Otto, Felix 33 2015 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 33 2007 Evolution of microstructure in unstable porous media flow: A relaxational approach. Zbl 0929.76136Otto, Felix 31 1999 Rigorous lubrication approximation. Zbl 1039.76012Giacomelli, Lorenzo; Otto, Felix 31 2003 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 29 2008 A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Zbl 1179.60068Grunewald, Natalie; Otto, Felix; Villani, Cédric; Westdickenberg, Maria G. 28 2009 Identification of the dilute regime in particle sedimentation. Zbl 1059.76073Jabin, Pierre-Emmanuel; Otto, Felix 27 2004 Well-posedness for the Navier-slip thin-film equation in the case of complete wetting. Zbl 1302.35218Giacomelli, Lorenzo; Gnann, Manuel V.; Knüpfer, Hans; Otto, Felix 26 2014 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 26 2004 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028De Lellis, Camillo; Otto, Felix 25 2003 Slow motion of gradient flows. Zbl 1138.35036Otto, Felix; Reznikoff, Maria G. 25 2007 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 24 2000 Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082Otto, Felix 24 2009 A regularity theory for random elliptic operators. Zbl 1440.35064Gloria, Antoine; Neukamm, Stefan; Otto, Felix 24 2020 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013Otto, Felix; Reznikoff, Maria G. 23 2007 Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 23 2013 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 23 2013 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440Fischer, Julian; Otto, Felix 22 2016 Quasilinear SPDEs via rough paths. Zbl 1426.60090Otto, Felix; Weber, Hendrik 22 2019 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229Otto, Felix; Seis, Christian 21 2011 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096Menz, Georg; Otto, Felix 21 2013 A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy. Zbl 1251.82049Capella, Antonio; Otto, Felix 21 2012 Free energy and the Fokker-Planck equation. Zbl 1029.82507Jordan, Richard; Kinderlehrer, David; Otto, Felix 20 1997 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 20 2002 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044Choksi, R.; Kohn, R. V.; Otto, F. 19 2004 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121Laux, Tim; Otto, Felix 19 2016 2-D stability of the Néel wall. Zbl 1158.78300DeSimone, Antonio; Knüpfer, Hans; Otto, Felix 18 2006 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064Capella, Antonio; Otto, Felix 17 2009 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037Capella, Antonio; Melcher, Christof; Otto, Felix 17 2007 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 17 2008 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018Gloria, Antoine; Otto, Félix 16 2015 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Droplet spreading: Intermediate scaling law by PDE methods. Zbl 1021.76014Giacomelli, Lorenzo; Otto, Felix 14 2002 \(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085Otto, Felix 14 1997 Ostwald ripening: The screening length revisited. Zbl 0988.35021Niethammer, Barbara; Otto, Felix 14 2001 Systems of reductions. Zbl 0636.68027Benninghofen, B.; Kemmerich, S.; Richter, M. M. 14 1987 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010Mourrat, Jean-Christophe; Otto, Felix 14 2016 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027Otto, Felix; Rump, Tobias; Slepcev, Dejan 13 2007 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 13 2011 Stochastic homogenization of linear elliptic equations: higher-order error estimates in weak norms via second-order correctors. Zbl 1380.35011Bella, Peter; Fehrman, Benjamin; Fischer, Julian; Otto, Felix 13 2017 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040Mourrat, Jean-Christophe; Otto, Felix 12 2016 Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. Zbl 0958.35074Knabner, P.; Otto, F. 11 2000 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045Brenier, Yann; Otto, Felix; Seis, Christian 11 2011 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 11 2020 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129Bella, Peter; Fehrman, Benjamin; Otto, Felix 11 2018 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 10 2003 New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168Goldman, Michael; Josien, Marc; Otto, Felix 10 2015 Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046Otto, Felix; Viehmann, Thomas 10 2010 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 10 2015 Thermodynamically driven incompressible fluid mixtures. Zbl 1110.76307Otto, Felix; E, Weinan 9 1997 Viscous fingering: An optimal bound on the growth rate of the mixing zone. Zbl 0901.76082Otto, Felix 9 1997 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 9 2016 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 9 2008 A new model for contact angle hysteresis. Zbl 1125.76011DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix 9 2007 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273Bella, Peter; Otto, Felix 9 2016 On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139Lamy, Xavier; Otto, Felix 9 2018 Domain coarsening in thin films. Zbl 1029.82026Niethammer, Barbara; Otto, Felix 8 2001 Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091Otto, Felix; Seis, Christian; Slepčev, Dejan 8 2013 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029Fischer, Julian; Otto, Felix 8 2017 \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0845.35056Otto, Felix 7 1995 Evolution of microstructure: an example. Zbl 1136.76349Otto, Felix 7 2001 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054Gigli, Nicola; Otto, Felix 7 2013 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040Bella, Peter; Giunti, Arianna; Otto, Felix 7 2017 Interpolation inequalities in pattern formation. Zbl 1350.49071Cinti, Eleonora; Otto, Felix 7 2016 On annealed elliptic Green’s function estimates. Zbl 1374.35385Marahrens, Daniel; Otto, Felix 6 2015 Cross-over in scaling laws: A simple example from micromagnetics. Zbl 1067.74020Otto, Felix 6 2002 Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size. Zbl 1291.60135Otto, Felix; Weber, Hendrik; Westdickenberg, Maria G. 6 2014 Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087Otto, Felix; Westdickenberg, Maria G. 6 2014 The thresholding scheme for mean curvature flow and de Giorgi’s ideas for minimizing movements. Zbl 07373006Laux, Tim; Otto, Felix 2 2021 Quantitative linearization results for the Monge-Ampère equation. Zbl 1480.35082Goldman, Michael; Huesmann, Martin; Otto, Felix 2 2021 Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156Gloria, Antoine; Neukamm, Stefan; Otto, Felix 2 2021 Sharp boundary \(\varepsilon\)-regularity of optimal transport maps. Zbl 1459.49032Miura, Tatsuya; Otto, Felix 1 2021 Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397Otto, Felix; Prod’homme, Maxime; Ried, Tobias 1 2021 A regularity theory for random elliptic operators. Zbl 1440.35064Gloria, Antoine; Neukamm, Stefan; Otto, Felix 24 2020 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 11 2020 Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017Duerinckx, Mitia; Otto, Felix 6 2020 Brakke’s inequality for the thresholding scheme. Zbl 07161205Laux, Tim; Otto, Felix 3 2020 A variational proof of partial regularity for optimal transportation maps. Zbl 1465.35263Goldman, Michael; Otto, Felix 3 2020 Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 07217205Khoromskaia, Venera; Khoromskij, Boris N.; Otto, Felix 2 2020 Robustness of the pathwise structure of fluctuations in stochastic homogenization. Zbl 1469.60102Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 2 2020 Effective multipoles in random media. Zbl 1442.35020Bella, Peter; Giunti, Arianna; Otto, Felix 1 2020 Quasilinear SPDEs via rough paths. Zbl 1426.60090Otto, Felix; Weber, Hendrik 22 2019 Quasi-linear SPDEs in divergence form. Zbl 1436.60066Otto, Felix; Weber, Hendrik 3 2019 Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line. Zbl 1461.35058Otto, Felix; Scholtes, Sebastian; Westdickenberg, Maria G. 2 2019 Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G. 1 2019 The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240Ignat, Radu; Otto, Felix 1 2019 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129Bella, Peter; Fehrman, Benjamin; Otto, Felix 11 2018 On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139Lamy, Xavier; Otto, Felix 9 2018 A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia 3 2018 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032Gloria, Antoine; Otto, Felix 45 2017 Stochastic homogenization of linear elliptic equations: higher-order error estimates in weak norms via second-order correctors. Zbl 1380.35011Bella, Peter; Fehrman, Benjamin; Fischer, Julian; Otto, Felix 13 2017 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029Fischer, Julian; Otto, Felix 8 2017 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040Bella, Peter; Giunti, Arianna; Otto, Felix 7 2017 Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053Conlon, Joseph G.; Giunti, Arianna; Otto, Felix 6 2017 Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096Nobili, Camilla; Otto, Felix 5 2017 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440Fischer, Julian; Otto, Felix 22 2016 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121Laux, Tim; Otto, Felix 19 2016 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010Mourrat, Jean-Christophe; Otto, Felix 14 2016 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040Mourrat, Jean-Christophe; Otto, Felix 12 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 9 2016 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273Bella, Peter; Otto, Felix 9 2016 Interpolation inequalities in pattern formation. Zbl 1350.49071Cinti, Eleonora; Otto, Felix 7 2016 Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185Choffrut, Antoine; Nobili, Camilla; Otto, Felix 5 2016 Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law. Zbl 1345.35074Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 4 2016 Corrigendum to: “Smooth zero-contact-angle solutions to a thin-film equation around the steady state”. Zbl 1467.35008Bringmann, Björn; Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 3 2016 A maximal regularity estimate for the non-stationary Stokes equation in the strip. Zbl 1347.35055Choffrut, Antoine; Nobili, Camilla; Otto, Felix 1 2016 Algebraic contraction rate for distance between entropy solutions of scalar conservation laws. Zbl 1332.35216Esselborn, Elias; Gigli, Nicola; Otto, Felix 1 2016 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020Gloria, A.; Neukamm, S.; Otto, F. 81 2015 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072Esedoḡlu, Selim; Otto, Felix 52 2015 Annealed estimates on the Green function. Zbl 1342.60101Marahrens, Daniel; Otto, Felix 33 2015 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018Gloria, Antoine; Otto, Félix 16 2015 New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168Goldman, Michael; Josien, Marc; Otto, Felix 10 2015 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 10 2015 On annealed elliptic Green’s function estimates. Zbl 1374.35385Marahrens, Daniel; Otto, Felix 6 2015 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029Gloria, Antoine; Neukamm, Stefan; Otto, Felix 49 2014 Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002Lu, Jianfeng; Otto, Felix 48 2014 Well-posedness for the Navier-slip thin-film equation in the case of complete wetting. Zbl 1302.35218Giacomelli, Lorenzo; Gnann, Manuel V.; Knüpfer, Hans; Otto, Felix 26 2014 Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size. Zbl 1291.60135Otto, Felix; Weber, Hendrik; Westdickenberg, Maria G. 6 2014 Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087Otto, Felix; Westdickenberg, Maria G. 6 2014 A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types. Zbl 1301.49124Döring, Lukas; Ignat, Radu; Otto, Felix 5 2014 Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 23 2013 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 23 2013 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096Menz, Georg; Otto, Felix 21 2013 Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091Otto, Felix; Seis, Christian; Slepčev, Dejan 8 2013 Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054Gigli, Nicola; Otto, Felix 7 2013 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031Gloria, Antoine; Otto, Felix 60 2012 A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy. Zbl 1251.82049Capella, Antonio; Otto, Felix 21 2012 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025Gloria, Antoine; Otto, Felix 90 2011 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229Otto, Felix; Seis, Christian 21 2011 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 13 2011 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045Brenier, Yann; Otto, Felix; Seis, Christian 11 2011 Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046Otto, Felix; Viehmann, Thomas 10 2010 Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations. Zbl 1204.35128Otto, Felix; Ramos, Fabio 6 2010 The concertina pattern. From micromagnetics to domain theory. Zbl 1237.78036Otto, Felix; Steiner, Jutta 5 2010 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046Alberti, Giovanni; Choksi, Rustum; Otto, Felix 53 2009 A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Zbl 1179.60068Grunewald, Natalie; Otto, Felix; Villani, Cédric; Westdickenberg, Maria G. 28 2009 Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082Otto, Felix 24 2009 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064Capella, Antonio; Otto, Felix 17 2009 Ostwald ripening of droplets: The role of migration. Zbl 1155.76057Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan 6 2009 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 52 2008 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 35 2008 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 29 2008 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 17 2008 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 9 2008 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 33 2007 Slow motion of gradient flows. Zbl 1138.35036Otto, Felix; Reznikoff, Maria G. 25 2007 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013Otto, Felix; Reznikoff, Maria G. 23 2007 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037Capella, Antonio; Melcher, Christof; Otto, Felix 17 2007 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027Otto, Felix; Rump, Tobias; Slepcev, Dejan 13 2007 A new model for contact angle hysteresis. Zbl 1125.76011DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix 9 2007 The concertina pattern: a bifurcation in ferromagnetic thin films. Zbl 1119.82043Cantero-Alvarez, R.; Otto, F.; Steiner, J. 6 2007 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016Otto, Felix; Westdickenberg, Michael 45 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 41 2006 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 39 2006 Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix 35 2006 2-D stability of the Néel wall. Zbl 1158.78300DeSimone, Antonio; Knüpfer, Hans; Otto, Felix 18 2006 Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040Helzel, Christiane; Otto, Felix 6 2006 Coarsening rates in off-critical mixtures. Zbl 1141.82010Conti, Sergio; Niethammer, Barbara; Otto, Felix 5 2006 Diffusive slowdown in miscible viscous fingering. Zbl 1184.35260Menon, Govind; Otto, Felix 5 2006 Critical fields in ferromagnetic thin films: identification of four regimes. Zbl 1151.78365Cantero-Alvarez, R.; Otto, F. 4 2006 Oscillatory buckling mode in thin-film nucleation. Zbl 1129.78017Cantero-Alvarez, R.; Otto, F. 4 2006 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 3 2006 On the effect of correlations, fluctuations and collisions in Ostwald ripening. Zbl 1366.82040Niethammer, Barbara; Otto, Felix; Velázquez, Juan J. L. 3 2006 New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113Giacomelli, Lorenzo; Otto, Felix 35 2005 On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 Dynamic scaling in miscible viscous fingering. Zbl 1135.76323Menon, G.; Otto, F. 6 2005 Convergence of thin film approximation for a scalar conservation law. Zbl 1082.35107Otto, Felix; Westdickenberg, Michael 3 2005 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,319 Authors 70 Otto, Felix 49 Carrillo de la Plata, José Antonio 27 Savaré, Giuseppe 26 Conti, Sergio 25 Gloria, Antoine 23 Ignat, Radu 23 Knüpfer, Hans 22 Peletier, Mark Adriaan 20 Mielke, Alexander 19 Cancès, Clément 18 Li, Wuchen 17 Matthes, Daniel 16 Ambrosio, Luigi 16 Gigli, Nicola 16 Mourrat, Jean-Christophe 16 Wang, Feng-Yu 15 Fischer, Julian 15 Gozlan, Nathael 15 Muratov, Cyrill B. 15 Niethammer, Barbara 14 McCann, Robert J. 14 Sturm, Karl-Theodor 13 Bella, Peter 13 Erbar, Matthias 12 Andreianov, Boris 12 Brenier, Yann 12 Carlier, Guillaume 12 Dolbeault, Jean 12 Duerinckx, Mitia 12 Gentil, Ivan 12 Goldman, Michael 12 Guillin, Arnaud 12 Monsaingeon, Léonard 12 Serfaty, Sylvia 12 Velázquez, Juan J. L. 11 Agueh, Martial 11 Armstrong, Scott N. 11 Coclite, Giuseppe Maria 11 Di Francesco, Marco 11 Doering, Charles Rogers 11 Fathi, Max 11 Gallouët, Thomas O. 11 Maas, Jan 11 Masmoudi, Nader 11 Menz, Georg 11 Ohta, Shin-ichi 11 Ortiz, Michael 11 Santambrogio, Filippo 11 Schlichting, André 11 Seis, Christian 10 Carlen, Eric Anders 10 Choksi, Rustum 10 Esedoglu, Selim 10 Giacomelli, Lorenzo 10 Gnann, Manuel V. 10 Grün, Günther 10 Liu, Jianguo 10 Ren, Xiaofeng 10 Roberto, Cyril 10 Shao, Jinghai 10 Slepčev, Dejan 10 Topaloglu, Ihsan 10 Toscani, Giuseppe 10 Vazquez, Juan Luis 10 Villani, Cédric 10 Vorotnikov, Dmitry A. 10 Wu, Liming 10 Zinsl, Jonathan 9 Alama, Stan 9 Blanchet, Adrien 9 Bronsard, Lia 9 Chen, Yongxin 9 Gess, Benjamin 9 Karlsen, Kenneth Hvistendahl 9 Kim, Inwon Christina 9 Kohn, Robert Vita 9 Legoll, Frédéric 9 Lelièvre, Tony 9 Slastikov, Valeriy V. 9 Strani, Marta 9 Zwicknagl, Barbara Maria 8 Bogachev, Vladimir Igorevich 8 DeSimone, Antonio 8 Gancedo, Francisco 8 Georgiou, Tryphon T. 8 Gu, Yu 8 Léonard, Christian 8 Lu, Jianfeng 8 Marconi, Elio 8 Moser, Roger 8 Neukamm, Stefan 8 Novaga, Matteo 8 Pop, Iuliu Sorin 8 Rüland, Angkana 8 Samson, Paul-Marie 8 Titi, Edriss Saleh 8 Tzavaras, Athanasios E. 8 Zhan, Huashui 7 Andres, Sebastian 7 Bolley, François ...and 2,219 more Authors all top 5 Cited in 305 Serials 131 Archive for Rational Mechanics and Analysis 90 Journal of Differential Equations 89 Calculus of Variations and Partial Differential Equations 74 SIAM Journal on Mathematical Analysis 62 Journal of Functional Analysis 52 Communications in Mathematical Physics 52 Nonlinear Analysis. 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Analysis and Computations 10 Journal of the Mechanics and Physics of Solids 10 SIAM Journal on Imaging Sciences 9 Computers & Mathematics with Applications 9 Interfaces and Free Boundaries 8 Mathematische Annalen 8 Journal of the European Mathematical Society (JEMS) 8 Foundations of Computational Mathematics 8 Discrete and Continuous Dynamical Systems. Series S 7 Mathematical Methods in the Applied Sciences 7 Acta Applicandae Mathematicae 7 Continuum Mechanics and Thermodynamics 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Communications in Contemporary Mathematics 7 Oberwolfach Reports 7 Kinetic and Related Models 7 Science China. Mathematics 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Journal of Engineering Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Quarterly of Applied Mathematics 6 SIAM Journal on Control and Optimization 6 Chinese Annals of Mathematics. Series B 6 The Journal of Geometric Analysis 6 SIAM Review 6 Bulletin of the American Mathematical Society. New Series 6 Physics of Fluids 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Analysis & PDE 6 SIAM/ASA Journal on Uncertainty Quantification 6 Information Geometry 5 Applicable Analysis 5 Applied Mathematics and Optimization 5 Manuscripta Mathematica 5 Memoirs of the American Mathematical Society 5 Ricerche di Matematica 5 Zeitschrift für Analysis und ihre Anwendungen 5 Revista Matemática Iberoamericana 5 Proceedings of the National Academy of Sciences of the United States of America 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Doklady Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Milan Journal of Mathematics 5 SIAM Journal on Applied Dynamical Systems 5 Boundary Value Problems 5 Advances in Calculus of Variations ...and 205 more Serials all top 5 Cited in 51 Fields 1,390 Partial differential equations (35-XX) 483 Probability theory and stochastic processes (60-XX) 450 Calculus of variations and optimal control; optimization (49-XX) 444 Fluid mechanics (76-XX) 389 Statistical mechanics, structure of matter (82-XX) 312 Numerical analysis (65-XX) 167 Mechanics of deformable solids (74-XX) 138 Differential geometry (53-XX) 136 Global analysis, analysis on manifolds (58-XX) 108 Operator theory (47-XX) 89 Biology and other natural sciences (92-XX) 82 Dynamical systems and ergodic theory (37-XX) 75 Functional analysis (46-XX) 72 Measure and integration (28-XX) 71 Real functions (26-XX) 54 Classical thermodynamics, heat transfer (80-XX) 48 Operations research, mathematical programming (90-XX) 46 Optics, electromagnetic theory (78-XX) 38 Ordinary differential equations (34-XX) 35 Information and communication theory, circuits (94-XX) 32 Quantum theory (81-XX) 31 Statistics (62-XX) 31 Systems theory; control (93-XX) 30 Difference and functional equations (39-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Integral equations (45-XX) 23 Computer science (68-XX) 16 Functions of a complex variable (30-XX) 16 Mechanics of particles and systems (70-XX) 14 General topology (54-XX) 13 Convex and discrete geometry (52-XX) 12 Geophysics (86-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Combinatorics (05-XX) 9 Potential theory (31-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 General and overarching topics; collections (00-XX) 7 Geometry (51-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 2 Nonassociative rings and algebras (17-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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