Felix Otto | Academic Influence

Felix Otto 's AcademicInfluence.com Rankings

Felix Otto

Mathematics

#895

World Rank

#1572

Historical Rank

Measure Theory

#982

World Rank

#1276

Historical Rank

mathematics Degrees

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Mathematics

Felix Otto 's Degrees

PhD Mathematics University of Bonn

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According to Wikipedia, Felix Otto is a German mathematician. Biography He studied mathematics at the University of Bonn, finishing his PhD thesis in 1993 under the supervision of Stephan Luckhaus. After postdoctoral studies at the Courant Institute of Mathematical Sciences of New York University and at Carnegie Mellon University, in 1997 he became a professor at the University of California, Santa Barbara. From 1999 to 2010 he was professor for applied mathematics at the University of Bonn, and currently serves as one of the directors of the Max Planck Institute for Mathematics in the Sciences, Leipzig.

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Felix Otto 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION (1996) (1539)
THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION (2001) (1436)
Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality (2000) (922)
L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations (1996) (300)
An optimal variance estimate in stochastic homogenization of discrete elliptic equations (2011) (258)
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics (2013) (237)
An optimal error estimate in stochastic homogenization of discrete elliptic equations (2012) (171)
Upper Bounds on Coarsening Rates (2002) (164)
Threshold Dynamics for Networks with Arbitrary Surface Tensions (2015) (151)
A reduced theory for thin‐film micromagnetics (2002) (147)
Uniform energy distribution for an isoperimetric problem with long-range interactions (2008) (133)
Dynamics of Labyrinthine Pattern Formation in Magnetic Fluids: A Mean‐Field Theory (1998) (130)
A compactness result in the gradient theory of phase transitions (2001) (124)
Eulerian Calculus for the Contraction in the Wasserstein Distance (2005) (122)
Domain Branching in Uniaxial Ferromagnets: A Scaling Law for the Minimum Energy (1999) (119)
A Regularity Theory for Random Elliptic Operators (2014) (115)
Coarsening dynamics of the convective Cahn-Hilliard equation (2003) (113)
Lubrication approximation with prescribed nonzero contact anggle (1998) (108)
Quantitative results on the corrector equation in stochastic homogenization (2014) (104)
Smooth zero-contact-angle solutions to a thin-film equation around the steady state☆ (2008) (103)
New bounds for the Kuramoto‐Sivashinsky equation (2005) (100)
Structure of Entropy Solutions for Multi-Dimensional Scalar Conservation Laws (2003) (100)
Long-Time Asymptotics of a Multiscale Model for Polymeric Fluid Flows (2006) (100)
Initial-boundary value problem for a scalar conservation law (1996) (100)
Action minimization and sharp‐interface limits for the stochastic Allen‐Cahn equation (2007) (99)
Continuity of Velocity Gradients in Suspensions of Rod–like Molecules (2008) (94)
Magnetic microstructures - a paradigm of multiscale problems (1999) (92)
Annealed estimates on the Green function (2013) (92)
Variatonal formulation for the lubrication approximation of the Hele-Shaw flow (2001) (84)
Nonexistence of a Minimizer for Thomas–Fermi–Dirac–von Weizsäcker Model (2014) (84)
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection (2005) (83)
Evolution of microstructure in unstable porous media flow: A relaxational approach (1999) (81)
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations (2014) (80)
Rigorous lubrication approximation (2003) (79)
Quasilinear SPDEs via Rough Paths (2016) (76)
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit (2009) (75)
Optimal bounds on the Kuramoto–Sivashinsky equation (2009) (75)
Minimal entropy conditions for Burgers equation (2004) (72)
Convergence of the thresholding scheme for multi-phase mean-curvature flow (2016) (68)
Two–dimensional modelling of soft ferromagnetic films (2000) (67)
Doubly Degenerate Diffusion Equations as Steepest Descent (1996) (66)
A new criterion for the logarithmic Sobolev inequality and two applications (2007) (66)
The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations (2015) (65)
Recent analytical developments in micromagnetics (2004) (64)
Coarsening Rates for a Droplet Model: Rigorous Upper Bounds (2006) (64)
Line-energy Ginzburg-Landau models: zero-energy states (2002) (62)
Ostwald ripening: The screening length revisited (2001) (62)
Free energy and the Fokker-Planck equation (1997) (61)
Structure of entropy solutions to the eikonal equation (2003) (58)
A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy (2012) (57)
Slow motion of gradient flows (2007) (57)
Identification of the Dilute Regime in Particle Sedimentation (2004) (56)
Correlation structure of the corrector in stochastic homogenization (2014) (54)
The Structure of Fluctuations in Stochastic Homogenization (2016) (54)
A higher-order large-scale regularity theory for random elliptic operators (2015) (53)
Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation (2013) (51)
Well-posedness for the Navier-slip thin-film equation in the case of complete wetting (2014) (49)
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor (2008) (48)
2-d stability of the Néel wall (2006) (48)
Energy Minimization and Flux Domain Structure in the Intermediate State of a Type-I Superconductor (2004) (48)
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential (2013) (47)
Rayleigh–Bénard convection: Improved bounds on the Nusselt number (2011) (45)
Droplet spreading: Intermediate scaling law by PDE methods (2002) (45)
Thermodynamically driven incompressible fluid mixtures (1997) (43)
Ostwald ripening of droplets: The role of migration (2009) (43)
A rigidity result for a perturbation of the geometrically linear three‐well problem (2009) (43)
Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3 (2013) (42)
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls (2007) (41)
A diffuse-interface approximation for step flow in epitaxial growth (2004) (39)
Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids (2011) (37)
QUANTITATIVE ESTIMATES ON THE PERIODIC APPROXIMATION OF THE CORRECTOR IN STOCHASTIC HOMOGENIZATION (2014) (35)
Repulsive Interaction of Néel Walls, and the Internal Length Scale of the Cross-Tie Wall (2003) (34)
Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: uniqueness of weak solutions (2000) (34)
Higher-order pathwise theory of fluctuations in stochastic homogenization (2019) (33)
Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy (2010) (32)
Moment bounds for the corrector in stochastic homogenization of a percolation model (2013) (32)
Generalised Einstein relation for hot Brownian motion (2011) (31)
Stochastic Homogenization of Linear Elliptic Equations: Higher-Order Error Estimates in Weak Norms Via Second-Order Correctors (2016) (31)
Quantitative estimates in stochastic homogenization for correlated coefficient fields (2019) (31)
A Liouville theorem for elliptic systems with degenerate ergodic coefficients (2016) (30)
A compactness result in thin-film micromagnetics and the optimality of the Néel wall (2008) (30)
A new model for contact angle hysteresis (2007) (29)
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments (2015) (28)
The Corrector in Stochastic Homogenization: Near-Optimal Rates With Optimal Stochastic Integrability (2015) (27)
On First-order Corrections to the LSW Theory II: Finite Systems (2005) (27)
Universal Bounds for the Littlewood-Paley First-Order Moments of the 3D Navier-Stokes Equations (2010) (27)
Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws (2008) (27)
Coarsening Rates in Off-Critical Mixtures (2006) (26)
Multiscale simulations for suspensions of rod-like molecules (2006) (26)
Quantitative stochastic homogenization: local control of homogenization error through corrector (2015) (25)
Crossover of the coarsening rates in demixing of binary viscous liquids (2013) (25)
Small surface energy, coarse-graining, and selection of microstructure (1997) (25)
Limitations of the background field method applied to Rayleigh-B\'enard convection (2016) (25)
Dynamic Scaling in Miscible Viscous Fingering (2005) (25)
Viscous Fingering: An Optimal Bound on the Growth Rate of the Mixing Zone (1997) (24)
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations (2015) (24)
Comment on: “Hypercontractivity of Hamilton–Jacobi equations”, by S. Bobkov, I. Gentil and M. Ledoux (2001) (22)
Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size (2013) (22)
A variational proof of partial regularity for optimal transportation maps (2017) (21)
Corrector Estimates for Elliptic Systems with Random Periodic Coefficients (2014) (21)
A compactness result for Landau state in thin-film micromagnetics (2010) (20)
Domain coarsening in thin films (2001) (20)
Upper bounds on Nusselt number at finite Prandtl number (2014) (20)
New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations (2015) (19)
Brakke’s inequality for the thresholding scheme (2017) (19)
Robustness of the pathwise structure of fluctuations in stochastic homogenization (2018) (18)
Multiscale Modeling of Materials — the Role of Analysis (2003) (17)
On annealed elliptic Green function estimates (2014) (17)
Parabolic equations with rough coefficients and singular forcing. (2018) (17)
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric (2013) (17)
Low energy domain patterns in soft ferromagnetic films (2002) (16)
An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (2015) (16)
A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem (2018) (16)
Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law (2016) (16)
A priori bounds for quasi-linear SPDEs in the full sub-critical regime (2021) (15)
Cross-over in Scaling Laws: A Simple Example from Micromagnetics (2003) (15)
Critical Fields in Ferromagnetic Thin Films: Identification of Four Regimes (2006) (14)
Quantitative Linearization Results for the Monge‐Ampère Equation (2019) (14)
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types. (2013) (14)
Interpolation inequalities in pattern formation (2011) (14)
Evolution of Microstructure: an Example (2001) (14)
The concertina pattern (2010) (13)
Oscillatory Buckling Mode in Thin-Film Nucleation (2006) (13)
The annealed Calderón-Zygmund estimate as convenient tool in quantitative stochastic homogenization (2020) (13)
On First-order Corrections to the LSW Theory I: Infinite Systems (2002) (13)
A Reduced Model for Simulating Grain Growth (2003) (13)
Relaxation to Equilibrium in the One-Dimensional Cahn-Hilliard Equation (2014) (13)
On the regularity of weak solutions to Burgers’ equation with finite entropy production (2017) (13)
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) (13)
The Concertina Pattern: A Bifurcation in Ferromagnetic Thin Films (2007) (12)
Effective multipoles in random media (2017) (12)
The structure group for quasi-linear equations via universal enveloping algebras (2021) (12)
Green’s function for elliptic systems: existence and Delmotte–Deuschel bounds (2016) (12)
A diagram-free approach to the stochastic estimates in regularity structures (2021) (11)
The Formation and Coarsening of the Concertina Pattern (2011) (11)
Branched Microstructures in the Ginzburg-Landau Model of Type-I Superconductors (2015) (11)
Dynamics of the fokker-planck equation (1999) (11)
Fast communication: Diffusive slowdown in miscible viscous fingering (2006) (11)
Mathematical Thermodynamics of Complex Fluids (2017) (10)
Transport Equations and Multi-D Hyperbolic Conservation Laws (2008) (10)
The thresholding scheme for mean curvature flow and de Giorgi's ideas for minimizing movements (2019) (10)
Discretisation and Numerical Tests of a Diffuse-Interface Model with Ehrlich-Schwoebel Barrier (2005) (10)
A Two – Scale Proof of a Logarithmic Sobolev Inequality (10)
A branched transport limit of the Ginzburg-Landau functional (2017) (9)
Nucleation barriers for the cubic‐to‐tetragonal phase transformation in the absence of self‐accommodation (2018) (9)
Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements (2020) (8)
A regularizing effect of nonlinear transport equations (1998) (7)
The magnetization ripple: A nonlocal stochastic PDE perspective (2017) (7)
Quasi-linear SPDEs in divergence form (2017) (6)
A tree-free approach to regularity structures: The regular case for quasi-linear equations (2022) (6)
Corrigendum to “Smooth zero-contact-angle solutions to a thin-film equation around the steady state” [J. Differential Equations 245 (2008) 1454–1506] (2016) (6)
Variational methods for a singular SPDE yielding the universality of the magnetization ripple (2020) (6)
Nonuniversality in Low-Volume-Fraction Ostwald Ripening (2006) (6)
Variational Approach to Regularity of Optimal Transport Maps: General Cost Functions (2020) (6)
A REGULARITY THEORY FOR RANDOM ELLIPTIC OPERATORS AND HOMOGENIZATION (2018) (5)
Structure of entropy solutions: applications to variational problems (2002) (5)
Optimal Artificial Boundary Condition for Random Elliptic Media (2018) (5)
On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening (2006) (5)
Hölder regularity for a non-linear parabolic equation driven by space-time white noise (2015) (4)
Interacting tails of asymmetric domain walls – theory and experiments (2016) (4)
There is no stationary cyclically monotone Poisson matching in 2d (2021) (4)
Representative volume elements for matrix-inclusion composites - a computational study on periodizing the ensemble (2021) (4)
Rigorous Bounds on Scaling Laws in Fluid Dynamics (2017) (4)
CONVERGENCE OF THIN FILM APPROXIMATION FOR A SCALAR CONSERVATION LAW (2005) (4)
Sharp boundary ε-regularity of optimal transport maps (2021) (4)
Bias in the representative volume element method: periodize the ensemble instead of its realizations (2022) (3)
Micro Structures in Thin Coating Layers: Micro Structure Evolution and Macroscopic Contact Angle (2008) (3)
Optimal L1-type Relaxation Rates for the Cahn-Hilliard Equation on the Line (2018) (3)
Toward a quantitative theory of the hydrodynamic limit (2018) (3)
A maximal regularity estimate for the non-stationary Stokes equation in the strip (2016) (3)
A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element (2017) (3)
Uniform Energy Distribution for Minimizers of an Isoperimetric Problem Containing Long-range Interactions ∗ (2007) (3)
Quantitative theory in stochastic homogenization (2014) (2)
Relaxation to a planar interface in the Mullins–Sekerka problem (2017) (2)
Numerical study in stochastic homogenization for elliptic PDEs: convergence rate in the size of representative volume elements (2019) (2)
Lecture notes on tree-free regularity structures (2023) (2)
Sharp boundary $\varepsilon$-regularity of optimal transport maps (2020) (2)
A quantitative two-scale expansion in stochastic homogenization of discrete linear elliptic equations (2013) (2)
The quantitative hydrodynamic limit of the Kawasaki dynamics (2018) (2)
Uniform energy distribution in a pattern-forming system of surface charges (2020) (2)
Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media (2021) (1)
H-Matrix Method vs. FFT in Thin-Film Stray-Field Computations (2005) (1)
Variational Methods for Evolution (2018) (1)
homogenization: optimal bounds via spectral gap on Glauber dynamics | long version (2013) (1)
Domain Configurations in Soft Ferromagnetic Films under External Field (2012) (1)
The Structure of Fluctuations in Stochastic Homogenization (2020) (1)
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics (2014) (1)
Long-time asymptotics of a multiscale model for polymeric uid ows (2005) (1)
Lecture notes on the harmonic approximation to quadratic optimal transport (2023) (1)
Algebraic contraction rate for distance between entropy solutions of scalar conservation laws (2016) (1)
Numerical Methods for the Simulation of Epitaxial Growth and their Application in the Study of a Meander Instability (2008) (1)
Remarks about metastability (1997) (1)
On the existence of the Green function for elliptic systems in divergence form (2019) (1)
applications to variational problems (2002) (0)
tOKNCT Dynamics of Labyrinthine Pattern Formation in Magnetic Fluids : A Mean-Field Theory (2005) (0)
Erratum to: On the existence of the Green function for elliptic systems in divergence form (2021) (0)
Mathematik in den Naturwissenschaften Leipzig A numerical primer in 2 D stochastic homogenization : CLT scaling in the Representative (2018) (0)
TWO-DIMENSIONAL MODELLING OF SOFTFERROMAGNETIC (2001) (0)
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations (2016) (0)
A Regularity Theory for Random Elliptic Operators (2020) (0)
Mathematik in den Naturwissenschaften Leipzig Interacting tails of asymmetric domain walls theory and experiments (2015) (0)
Quasilinear SPDEs via Rough Paths (2018) (0)
7 th Summer School in Analysis and Applied Mathematics Quantitative theory in stochastic homogenization (2013) (0)
Coarsening Dynami s for the Conve tiveCahn-Hilliard (2003) (0)
Gradient Random Fields – Banff workshop 2011 (2012) (0)
Erratum to: On the existence of the Green function for elliptic systems in divergence form (2021) (0)
The impact of the SIAM Journal on Mathematical Analysis' most popular paper (2018) (0)
Brakke’s inequality for the thresholding scheme (2020) (0)
Mathematik in den Naturwissenschaften Leipzig Coarsening Dynamics for the Convective Cahn-Hilliard Equation (2003) (0)
A ug 2 01 6 Convergence of the thresholding scheme for multi-phase mean-curvature flow (2018) (0)
Analysis , Modeling and Simulation of Multiscale Problems Repulsive interaction of N eel walls , and the internal length scale of the cross { tie wall (0)
On the motion of magnetic domain walls (2007) (0)
A Constrained Model for MSMA (2012) (0)
Workshop: Applications of Optimal Transportation in the Natural Sciences Table of Contents (2017) (0)
Arbeitsgemeinschaft: Optimal Transport and Geometry (2009) (0)
{contraction and Uniqueness for Unstationary Saturated{unsaturated Porous Media Flow (2007) (0)
Corrigendum to “Smooth zero-contact-angle solutions to a thin-film equation around the steady state” [Journal of Differential Equations (2016) (0)
Cubic-to-tetragonal martensitic phase transition: Scaling laws for energy in geometrically linear description with surface tension (2013) (0)
A regularity theory for elliptic systems with random coefficients (2016) (0)
Singular SPDE with rough coefficients (2018) (0)
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise (2021) (0)
From micromagnetics to domain theory (2010) (0)
Robustness of the pathwise structure of fluctuations in stochastic homogenization (2020) (0)
Slow Motion of Gradient Flows PREPRINT . PLEASE DO NOT DISTRIBUTE (2006) (0)
Abbreviated title: Viscous ngering: bound on growth rate of mixing zone Viscous ngering: an optimal bound on the growth rate of the mixing zone (2007) (0)
Sharp interface limit for the stochastic Allen-Cahn equations (2010) (0)
Convective Cahn-Hilliard Equation (2002) (0)
PR ] 5 F eb 2 01 8 THERMALISATION FOR STOCHASTIC SMALL RANDOM PERTURBATIONS OF HYPERBOLIC DYNAMICAL SYSTEMS (0)
The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off (2022) (0)
Convergence of the thresholding scheme for multi-phase mean-curvature flow (2016) (0)
Method and apparatus for automatic order of records to a certain amount of data with data records (2012) (0)
Control on the distribution function of particles in a Stokes flow (2000) (0)

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