On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

VARIATIONAL FORMULATION OF THE FOKKER–PLANCK EQUATION WITH DECAY: A PARTICLE APPROACH

(2013) MARK A. PELETIER et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Wasserstein gradient flows from large deviations of many-particle limits

(2013) Manh Hong Duong et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

A Model of Rupturing Lithospheric Faults with Reoccurring Earthquakes

(2013) Tomáš Roubíček et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Geodesic convexity of the relative entropy in reversible Markov chains

(2012) Alexander Mielke   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Upscaling from particle models to entropic gradient flows

(2012) Nicolas Dirr et al.   JOURNAL OF MATHEMATICAL PHYSICS

Fokker–Planck Equations for a Free Energy Functional or Markov Process on a Graph

(2011) Shui-Nee Chow et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction

(2011) Steffen Arnrich et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

From a Large-Deviations Principle to the Wasserstein Gradient Flow: A New Micro-Macro Passage

(2011) Stefan Adams et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Formulation of thermoelastic dissipative material behavior using GENERIC

(2011) Alexander Mielke   CONTINUUM MECHANICS AND THERMODYNAMICS

Gradient flows of the entropy for finite Markov chains

(2011) Jan Maas   JOURNAL OF FUNCTIONAL ANALYSIS

A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

(2011) Alexander Mielke   NONLINEARITY

Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows

(2010) Jacobus Portegies et al.   INTERFACES AND FREE BOUNDARIES

A Family of Nonlinear Fourth Order Equations of Gradient Flow Type

(2009) Daniel Matthes et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS