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Mathematics

D-Index
58
Citations
15661
World Ranking
625
National Ranking
29

Research.com Recognitions

  • 2015 - Member of Academia Europaea

Overview

Felix Otto is affiliated with the Max Planck Institute for Mathematics in the Sciences in Germany. Their research spans multiple fields including Mathematics, Engineering, and Materials Science, with a strong emphasis on interdisciplinary approaches combining these areas.

The researcher's work covers subfields such as Materials Chemistry, Computational Theory and Mathematics, Applied Mathematics, Computational Mechanics, and Electrical and Electronic Engineering. This diverse expertise supports investigations into complex problems involving advanced mathematical methods and material sciences.

Key topics in Felix Otto's research include:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Composite Material Mechanics
  • Advanced Numerical Methods in Computational Mathematics
  • Graphene research and applications
  • Geometric Analysis and Curvature Flows
  • Diamond and Carbon-based Materials Research

Felix Otto has contributed to several recent publications, reflecting a focus on mathematical and materials science topics. Notable papers include:

  • A Regularity Theory for Random Elliptic Operators, 2020, Milan Journal of Mathematics
  • The Structure of Fluctuations in Stochastic Homogenization, 2020, Communications in Mathematical Physics
  • 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, 2021, Journal of the Mechanics and Physics of Solids
  • Influence of Substrate Materials on Nucleation and Properties of Iridium Thin Films Grown by ALD, 2021, Coatings
  • Quantitative estimates in stochastic homogenization for correlated coefficient fields, 2021, Analysis & PDE

Felix Otto frequently collaborates with several co-authors, which include:

  • Torsten Fritz
  • Maximilian Schaal
  • Marco Gruenewald
  • Roman Forker
  • Adriana Szeghalmi

Their publications have appeared frequently in venues such as arXiv (Cornell University), The Journal of Physical Chemistry C, Nanoscale Advances, Communications on Pure and Applied Mathematics, and Coatings.

Felix Otto was recognized in 2015 by being named a Member of Academia Europaea.

Best Publications

  • The variational formulation of the Fokker-Planck equation

    Richard Jordan;David Kinderlehrer;Felix Otto

  • THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

    Felix Otto

  • Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

    F. Otto;C. Villani

  • L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations

    Felix Otto

  • An optimal variance estimate in stochastic homogenization of discrete elliptic equations

    Antoine Gloria;Felix Otto

  • Initial-boundary value problem for a scalar conservation law

    F. Otto

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

    Antoine Gloria;Stefan Neukamm;Felix Otto

  • Upper Bounds on Coarsening Rates

    Robert V. Kohn;Felix Otto

  • An optimal error estimate in stochastic homogenization of discrete elliptic equations

    Antoine Gloria;Felix Otto

  • Threshold dynamics for networks with arbitrary surface tensions

    Selim Esedoḡ Lu;Felix Otto

  • A reduced theory for thin-film micromagnetics

    Antonio Desimone;Robert V. Kohn;Stefan Müller;Felix Otto

  • Lubrication approximation with prescribed nonzero contact anggle

    Felix Otto

  • Dynamics of Labyrinthine Pattern Formation in Magnetic Fluids: A Mean‐Field Theory

    Felix Otto

  • Coarsening dynamics of the convective Cahn-Hilliard equation

    Stephen J. Watson;Felix Otto;Boris Y. Rubinstein;Stephen H. Davis

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

    Lorenzo Giacomelli;Hans Knüpfer;Felix Otto

  • New bounds for the Kuramoto-Sivashinsky equation

    Lorenzo Giacomelli;Felix Otto

  • EULERIAN CALCULUS FOR THE CONTRACTION IN THE WASSERSTEIN DISTANCE

    Felix Otto;Michael Westdickenberg

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

    Giovanni Alberti;Rustum Choksi;Felix Otto

  • Domain Branching in Uniaxial Ferromagnets: A Scaling Law for the Minimum Energy

    Rustum Choksi;Robert V. Kohn;Felix Otto

  • A compactness result in the gradient theory of phase transitions

    Antonio DeSimone;Stefan Müller;Robert V. Kohn;Felix Otto

Frequent Co-Authors

Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Sergio Conti
Sergio Conti University of Bonn
David Kinderlehrer
David Kinderlehrer Carnegie Mellon University
Camillo De Lellis
Camillo De Lellis Institute for Advanced Study
Sylvia Serfaty
Sylvia Serfaty Courant Institute of Mathematical Sciences
Jianfeng Lu
Jianfeng Lu Duke University
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Tony Lelièvre
Tony Lelièvre École des Ponts ParisTech
Axel Voigt
Axel Voigt TU Dresden

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