Edit Profile Otto, Felix Compute Distance To: Compute Author ID: otto.felix Published as: Otto, F.; Otto, Felix; Otto, Félix External Links: MGP · Wikidata · GND Documents Indexed: 147 Publications since 1995 all top 5 Co-Authors 14 single-authored 12 Kohn, Robert Vita 9 DeSimone, Antonio 9 Giacomelli, Lorenzo 9 Gloria, Antoine 8 Niethammer, Barbara 7 Müller, Stefan 6 Conti, Sergio 5 Bella, Peter 5 Knüpfer, Hans 5 Westdickenberg, Maria G. 5 Westdickenberg, Michael 4 Choksi, Rustum 4 Ignat, Radu 4 Jordan, Richard 4 Kinderlehrer, David 4 Neukamm, Stefan 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 Giunti, Arianna 3 Gnann, Manuel V. 3 Goldman, Michael 3 Hönig, Andreas 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 Laux, Tim 2 Marahrens, Daniel 2 Menon, Govind K. 2 Mourrat, Jean-Christophe 2 Penzler, Patrick 2 Serfaty, Sylvia 2 Steiner, Jutta 1 Alberti, Giovanni 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 R. 1 Dolzmann, Georg 1 Döring, Lukas 1 E, Weinan 1 Esedoglu, Selim 1 Esselborn, Elias 1 Glasner, Karl B. 1 Henseler, Reiner Thorsten 1 Ioffe, Dmitry 1 Josien, Marc 1 Jourdain, Benjamin 1 Khoromskaia, Venera 1 Khoromskij, Boris N. 1 Kirsten, Jorrit 1 Knabner, Peter 1 Kružík, Martin 1 Lamacz, Agnes 1 Lamy, Xavier 1 Le Bris, Claude 1 Lelièvre, Tony 1 Lu, Jianfeng 1 Luckhaus, Stephan 1 Melcher, Christof 1 Menz, Georg 1 Mielke, Alexander 1 Miura, Tatsuya 1 Perthame, Benoît 1 Pottel, Steffen 1 Ramos, Fabio Tozeto 1 Rätz, Andreas 1 Rubinstein, Boris Y. 1 Savaré, Giuseppe 1 Schäfer, Rudolf 1 Scholtes, Sebastian 1 Stefanelli, Ulisse 1 Sturm, Karl-Theodor 1 Šverák, Vladimír 1 Tzavaras, Athanasios E. 1 Vanden-Eijnden, Eric 1 Velázquez, Juan J. L. 1 Viehmann, Thomas 1 Voigt, Axel 1 Watson, Stephen James all top 5 Serials 11 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 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 Networks and Heterogeneous Media 1 The Journal of Chemical Physics 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 95 Partial differential equations (35-XX) 47 Statistical mechanics, structure of matter (82-XX) 38 Fluid mechanics (76-XX) 28 Probability theory and stochastic processes (60-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 8 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 3,371 times in 1,989 Documents Cited by ▼ Year ▼ The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089Otto, Felix 428 2001 The variational formulation of the Fokker-Planck equation. Zbl 0915.35120Jordan, Richard; Kinderlehrer, David; Otto, Felix 413 1998 Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Zbl 0985.58019Otto, F.; Villani, C. 265 2000 \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0862.35078Otto, Felix 105 1996 Initial-boundary value problem for a scalar conservation law. Zbl 0852.35013Otto, Felix 83 1996 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025Gloria, Antoine; Otto, Felix 74 2011 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020Gloria, A.; Neukamm, S.; Otto, F. 64 2015 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 59 2002 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011Choksi, Rustum; Kohn, Robert V.; Otto, Felix 50 1999 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031Gloria, Antoine; Otto, Felix 48 2012 Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. Zbl 0905.35068Otto, Felix 47 1998 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 46 2008 Upper bounds on coarsening rates. Zbl 1004.82011Kohn, Robert V.; Otto, Felix 46 2002 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029Gloria, Antoine; Neukamm, Stefan; Otto, Felix 44 2014 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046Alberti, Giovanni; Choksi, Rustum; Otto, Felix 44 2009 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 43 2001 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016Otto, Felix; Westdickenberg, Michael 42 2006 Lubrication approximation with prescribed nonzero contact angle. Zbl 0923.35211Otto, Felix 42 1998 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072Esedoḡlu, Selim; Otto, Felix 39 2015 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 39 2006 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 37 2003 Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002Lu, Jianfeng; Otto, Felix 35 2014 Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix 35 2006 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 34 2006 Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H. 34 2003 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 Variational formulation for the lubrication approximation of the Hele-Shaw flow. Zbl 1086.35004Giacomelli, Lorenzo; Otto, Felix 33 2001 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032Gloria, Antoine; Otto, Felix 32 2017 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 32 2008 Annealed estimates on the Green function. Zbl 1342.60101Marahrens, Daniel; Otto, Felix 29 2015 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 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 28 2008 Rigorous lubrication approximation. Zbl 1039.76012Giacomelli, Lorenzo; Otto, Felix 28 2003 New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113Giacomelli, Lorenzo; Otto, Felix 26 2005 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 25 2000 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 23 2004 Evolution of microstructure in unstable porous media flow: A relaxational approach. Zbl 0929.76136Otto, Felix 23 1999 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 22 2013 Slow motion of gradient flows. Zbl 1138.35036Otto, Felix; Reznikoff, Maria G. 22 2007 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013Otto, Felix; Reznikoff, Maria G. 21 2007 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028De Lellis, Camillo; Otto, Felix 21 2003 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 20 2014 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096Menz, Georg; Otto, Felix 20 2013 Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082Otto, Felix 20 2009 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440Fischer, Julian; Otto, Felix 19 2016 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 19 2013 Identification of the dilute regime in particle sedimentation. Zbl 1059.76073Jabin, Pierre-Emmanuel; Otto, Felix 19 2004 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 19 2002 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229Otto, Felix; Seis, Christian 18 2011 2-D stability of the Néel wall. Zbl 1158.78300DeSimone, Antonio; Knüpfer, Hans; Otto, Felix 18 2006 Free energy and the Fokker-Planck equation. Zbl 1029.82507Jordan, Richard; Kinderlehrer, David; Otto, Felix 18 1997 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044Choksi, R.; Kohn, R. V.; Otto, F. 17 2004 Quasilinear SPDEs via rough paths. Zbl 1426.60090Otto, Felix; Weber, Hendrik 16 2019 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018Gloria, Antoine; Otto, Félix 16 2015 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 16 2012 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 16 2008 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037Capella, Antonio; Melcher, Christof; Otto, Felix 16 2007 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 15 2001 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121Laux, Tim; Otto, Felix 14 2016 \(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085Otto, Felix 14 1997 Droplet spreading: Intermediate scaling law by PDE methods. Zbl 1021.76014Giacomelli, Lorenzo; Otto, Felix 13 2002 Ostwald ripening: The screening length revisited. Zbl 0988.35021Niethammer, Barbara; Otto, Felix 13 2001 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 12 2011 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064Capella, Antonio; Otto, Felix 12 2009 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027Otto, Felix; Rump, Tobias; Slepcev, Dejan 12 2007 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010Mourrat, Jean-Christophe; Otto, Felix 11 2016 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045Brenier, Yann; Otto, Felix; Seis, Christian 11 2011 Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. Zbl 0958.35074Knabner, P.; Otto, F. 11 2000 A regularity theory for random elliptic operators. Zbl 1440.35064Gloria, Antoine; Neukamm, Stefan; Otto, Felix 10 2020 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 10 2017 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040Mourrat, Jean-Christophe; Otto, Felix 10 2016 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 Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046Otto, Felix; Viehmann, Thomas 9 2010 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273Bella, Peter; Otto, Felix 8 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 8 2016 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 8 2015 Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091Otto, Felix; Seis, Christian; Slepčev, Dejan 8 2013 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 8 2008 A new model for contact angle hysteresis. Zbl 1125.76011DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix 8 2007 Domain coarsening in thin films. Zbl 1029.82026Niethammer, Barbara; Otto, Felix 8 2001 Viscous fingering: An optimal bound on the growth rate of the mixing zone. Zbl 0901.76082Otto, Felix 8 1997 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 7 2020 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029Fischer, Julian; Otto, Felix 7 2017 On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 Comment on “Hypercontractivity of Hamilton-Jacobi equations” by S. G. Bobkov, I. Gentil and M. Ledoux. Zbl 1134.35312Otto, Felix; Villani, Cédric 7 2001 Thermodynamically driven incompressible fluid mixtures. Zbl 1110.76307Otto, Felix; E, Weinan 7 1997 \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0845.35056Otto, Felix 7 1995 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040Bella, Peter; Giunti, Arianna; Otto, Felix 6 2017 On annealed elliptic Green’s function estimates. Zbl 1374.35385Marahrens, Daniel; Otto, Felix 6 2015 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 Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations. Zbl 1204.35128Otto, Felix; Ramos, Fabio 6 2010 Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040Helzel, Christiane; Otto, Felix 6 2006 Cross-over in scaling laws: A simple example from micromagnetics. Zbl 1067.74020Otto, Felix 6 2002 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129Bella, Peter; Fehrman, Benjamin; Otto, Felix 5 2018 Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053Conlon, Joseph G.; Giunti, Arianna; Otto, Felix 5 2017 Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185Choffrut, Antoine; Nobili, Camilla; Otto, Felix 5 2016 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 Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054Gigli, Nicola; Otto, Felix 5 2013 A regularity theory for random elliptic operators. Zbl 1440.35064Gloria, Antoine; Neukamm, Stefan; Otto, Felix 10 2020 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 7 2020 Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017Duerinckx, Mitia; Otto, Felix 2 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 1 2020 Brakke’s inequality for the thresholding scheme. Zbl 07161205Laux, Tim; Otto, Felix 1 2020 Quasilinear SPDEs via rough paths. Zbl 1426.60090Otto, Felix; Weber, Hendrik 16 2019 Quasi-linear SPDEs in divergence form. Zbl 1436.60066Otto, Felix; Weber, Hendrik 3 2019 Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G. 1 2019 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129Bella, Peter; Fehrman, Benjamin; Otto, Felix 5 2018 A branched transport limit of the Ginzburg-Landau functional. Zbl 1405.35201Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia 3 2018 On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139Lamy, Xavier; Otto, Felix 3 2018 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032Gloria, Antoine; Otto, Felix 32 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 10 2017 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029Fischer, Julian; Otto, Felix 7 2017 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040Bella, Peter; Giunti, Arianna; Otto, Felix 6 2017 Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053Conlon, Joseph G.; Giunti, Arianna; Otto, Felix 5 2017 Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096Nobili, Camilla; Otto, Felix 3 2017 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440Fischer, Julian; Otto, Felix 19 2016 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121Laux, Tim; Otto, Felix 14 2016 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010Mourrat, Jean-Christophe; Otto, Felix 11 2016 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040Mourrat, Jean-Christophe; Otto, Felix 10 2016 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273Bella, Peter; Otto, Felix 8 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 8 2016 Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185Choffrut, Antoine; Nobili, Camilla; Otto, Felix 5 2016 Interpolation inequalities in pattern formation. Zbl 1350.49071Cinti, Eleonora; Otto, Felix 4 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 3 2016 Corrigendum to “Smooth zero-contact-angle solutions to a thin-film equation around the steady state” [J. Differential Equations 245 (2008) 1454-1506]. Zbl 06579139Bringmann, 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 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020Gloria, A.; Neukamm, S.; Otto, F. 64 2015 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072Esedoḡlu, Selim; Otto, Felix 39 2015 Annealed estimates on the Green function. Zbl 1342.60101Marahrens, Daniel; Otto, Felix 29 2015 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018Gloria, Antoine; Otto, Félix 16 2015 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 8 2015 On annealed elliptic Green’s function estimates. Zbl 1374.35385Marahrens, Daniel; Otto, Felix 6 2015 New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168Goldman, Michael; Josien, Marc; Otto, Felix 3 2015 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029Gloria, Antoine; Neukamm, Stefan; Otto, Felix 44 2014 Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002Lu, Jianfeng; Otto, Felix 35 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 20 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 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 Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087Otto, Felix; Westdickenberg, Maria G. 3 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 22 2013 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096Menz, Georg; Otto, Felix 20 2013 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 19 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 5 2013 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031Gloria, Antoine; Otto, Felix 48 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 16 2012 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025Gloria, Antoine; Otto, Felix 74 2011 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229Otto, Felix; Seis, Christian 18 2011 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041Ignat, Radu; Otto, Felix 12 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 9 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 4 2010 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046Alberti, Giovanni; Choksi, Rustum; Otto, Felix 44 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 20 2009 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064Capella, Antonio; Otto, Felix 12 2009 Ostwald ripening of droplets: The role of migration. Zbl 1155.76057Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan 5 2009 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 46 2008 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051Otto, Felix; Tzavaras, Athanasios E. 32 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 28 2008 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011Ignat, Radu; Otto, Felix 16 2008 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 8 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. 22 2007 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013Otto, Felix; Reznikoff, Maria G. 21 2007 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037Capella, Antonio; Melcher, Christof; Otto, Felix 16 2007 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027Otto, Felix; Rump, Tobias; Slepcev, Dejan 12 2007 A new model for contact angle hysteresis. Zbl 1125.76011DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix 8 2007 The concertina pattern: a bifurcation in ferromagnetic thin films. Zbl 1119.82043Cantero-Alvarez, R.; Otto, F.; Steiner, J. 4 2007 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016Otto, Felix; Westdickenberg, Michael 42 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 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 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 34 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 Oscillatory buckling mode in thin-film nucleation. Zbl 1129.78017Cantero-Alvarez, R.; Otto, F. 4 2006 Diffusive slowdown in miscible viscous fingering. Zbl 1184.35260Menon, Govind; Otto, Felix 4 2006 On the effect of correlations, fluctuations and collisions in Ostwald ripening. Zbl 1366.82040Niethammer, Barbara; Otto, Felix; Velázquez, Juan J. L. 3 2006 Critical fields in ferromagnetic thin films: identification of four regimes. Zbl 1151.78365Cantero-Alvarez, R.; Otto, F. 3 2006 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 3 2006 New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113Giacomelli, Lorenzo; Otto, Felix 26 2005 On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013Hönig, Andreas; Niethammer, Barbara; Otto, Felix 7 2005 Dynamic scaling in miscible viscous fingering. Zbl 1135.76323Menon, G.; Otto, F. 5 2005 Convergence of thin film approximation for a scalar conservation law. Zbl 1082.35107Otto, Felix; Westdickenberg, Michael 3 2005 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 23 2004 Identification of the dilute regime in particle sedimentation. Zbl 1059.76073Jabin, Pierre-Emmanuel; Otto, Felix 19 2004 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044Choksi, R.; Kohn, R. V.; Otto, F. 17 2004 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 A phenomenological model for hysteresis in polycrystalline shape memory alloys. Zbl 1061.74042Kružík, Martin; Otto, Felix 3 2004 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 37 2003 Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H. 34 2003 Rigorous lubrication approximation. Zbl 1039.76012Giacomelli, Lorenzo; Otto, Felix 28 2003 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028De Lellis, Camillo; Otto, Felix 21 2003 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 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix 4 2003 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,067 Authors 66 Otto, Felix 44 Carrillo de la Plata, José Antonio 25 Conti, Sergio 25 Savaré, Giuseppe 23 Ignat, Radu 23 Knüpfer, Hans 22 Gloria, Antoine 21 Peletier, Mark Adriaan 20 Mielke, Alexander 18 Wang, Feng-Yu 16 Cancès, Clément 16 Gigli, Nicola 15 Ambrosio, Luigi 15 Matthes, Daniel 15 Mourrat, Jean-Christophe 15 Muratov, Cyrill B. 15 Niethammer, Barbara 14 Li, Wuchen 14 McCann, Robert J. 14 Sturm, Karl-Theodor 13 Erbar, Matthias 13 Gentil, Ivan 13 Gozlan, Nathael 12 Andreianov, Boris 12 Fischer, Julian 12 Guillin, Arnaud 12 Serfaty, Sylvia 11 Agueh, Martial 11 Armstrong, Scott N. 11 Bella, Peter 11 Carlier, Guillaume 11 Di Francesco, Marco 11 Dolbeault, Jean 11 Maas, Jan 11 Menz, Georg 11 Ortiz, Michael 11 Schlichting, André 11 Seis, Christian 10 Brenier, Yann 10 Doering, Charles R. 10 Fathi, Max 10 Gallouët, Thomas O. 10 Giacomelli, Lorenzo 10 Masmoudi, Nader 10 Monsaingeon, Léonard 10 Ohta, Shin-ichi 10 Shao, Jinghai 10 Slepčev, Dejan 10 Velázquez, Juan J. L. 10 Villani, Cédric 10 Wu, Liming 10 Zinsl, Jonathan 9 Blanchet, Adrien 9 Carlen, Eric Anders 9 Chen, Yongxin 9 Choksi, Rustum 9 Duerinckx, Mitia 9 Esedoglu, Selim 9 Gnann, Manuel V. 9 Goldman, Michael 9 Karlsen, Kenneth Hvistendahl 9 Kim, Inwon Christina 9 Kohn, Robert Vita 9 Legoll, Frédéric 9 Ren, Xiaofeng 9 Roberto, Cyril 9 Santambrogio, Filippo 9 Strani, Marta 9 Vazquez, Juan Luis 9 Vorotnikov, Dmitry A. 8 Coclite, Giuseppe Maria 8 Gancedo, Francisco 8 Georgiou, Tryphon T. 8 Ledoux, Michel 8 Lelièvre, Tony 8 Léonard, Christian 8 Liu, Jianguo 8 Moser, Roger 8 Slastikov, Valeriy V. 8 Topaloglu, Ihsan 8 Zwicknagl, Barbara Maria 7 Alama, Stan 7 Bolley, François 7 Bronsard, Lia 7 Conlon, Joseph G. 7 DeSimone, Antonio 7 Dirr, Nicolas Peter 7 Eymard, Robert 7 Gess, Benjamin 7 Gu, Yu 7 Laurençot, Philippe 7 LeFloch, Philippe Gerard 7 Liero, Matthias 7 Lisini, Stefano 7 Lu, Jianfeng 7 Melcher, Christof 7 Novaga, Matteo 7 Osting, Braxton 7 Poliakovsky, Arkady 7 Pop, Iuliu Sorin ...and 1,967 more Authors all top 5 Cited in 279 Serials 121 Archive for Rational Mechanics and Analysis 83 Journal of Differential Equations 78 Calculus of Variations and Partial Differential Equations 61 SIAM Journal on Mathematical Analysis 58 Journal of Functional Analysis 48 Communications in Mathematical Physics 48 Journal of Mathematical Analysis and Applications 48 Nonlinear Analysis. 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Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Communications in Contemporary Mathematics 6 Foundations of Computational Mathematics 6 Kinetic and Related Models 6 Analysis & PDE 6 Science China. Mathematics 5 Applicable Analysis 5 Memoirs of the American Mathematical Society 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Applicandae Mathematicae 5 The Journal of Geometric Analysis 5 Proceedings of the National Academy of Sciences of the United States of America 5 Doklady Mathematics 5 Advances in Calculus of Variations 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Information Geometry 4 Computer Methods in Applied Mechanics and Engineering 4 Applied Mathematics and Optimization 4 Manuscripta Mathematica 4 Monatshefte für Mathematik 4 Ricerche di Matematica 4 Acta Mathematicae Applicatae Sinica. English Series 4 Revista Matemática Iberoamericana 4 Geometric and Functional Analysis. GAFA 4 Applied Mathematical Modelling 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 Electronic Communications in Probability ...and 179 more Serials all top 5 Cited in 51 Fields 1,221 Partial differential equations (35-XX) 410 Probability theory and stochastic processes (60-XX) 386 Fluid mechanics (76-XX) 384 Calculus of variations and optimal control; optimization (49-XX) 354 Statistical mechanics, structure of matter (82-XX) 257 Numerical analysis (65-XX) 150 Mechanics of deformable solids (74-XX) 124 Differential geometry (53-XX) 119 Global analysis, analysis on manifolds (58-XX) 93 Operator theory (47-XX) 70 Dynamical systems and ergodic theory (37-XX) 69 Biology and other natural sciences (92-XX) 68 Functional analysis (46-XX) 67 Real functions (26-XX) 59 Measure and integration (28-XX) 51 Classical thermodynamics, heat transfer (80-XX) 45 Optics, electromagnetic theory (78-XX) 40 Operations research, mathematical programming (90-XX) 33 Ordinary differential equations (34-XX) 32 Information and communication theory, circuits (94-XX) 30 Systems theory; control (93-XX) 28 Quantum theory (81-XX) 24 Difference and functional equations (39-XX) 21 Integral equations (45-XX) 21 Statistics (62-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Computer science (68-XX) 16 Mechanics of particles and systems (70-XX) 13 Functions of a complex variable (30-XX) 12 General topology (54-XX) 11 Convex and discrete geometry (52-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Potential theory (31-XX) 9 Geophysics (86-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Geometry (51-XX) 6 Combinatorics (05-XX) 5 Special functions (33-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 2 Nonassociative rings and algebras (17-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) 1 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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