Finiteness of entropy for granular media equations

DOI10.19195/0208-4147.39.1.5zbMath1418.35227OpenAlexW3012099482MaRDI QIDQ5227568

Julian Tugaut

Publication date: 6 August 2019

Published in: Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.19195/0208-4147.39.1.5

zbMATH Keywords

entropyfunctional inequalitiesWasserstein distanceMcKean-Vlasov diffusiongranular media equation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Nonlinear parabolic equations (35K55) Diffusion processes (60J60)

Cites Work

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• Self-stabilizing processes in multi-wells landscape in \(\mathbb{R}^d\)-invariant probabilities
• Stationary measures for self-stabilizing processes: asymptotic analysis in the small noise limit
• Large deviations and a Kramers' type law for self-stabilizing diffusions
• Non-uniqueness of stationary measures for self-stabilizing processes
• Hypercontractivity of Hamilton-Jacobi equations.
• Comment on ``Hypercontractivity of Hamilton-Jacobi equations by S. G. Bobkov, I. Gentil and M. Ledoux.
• Self-stabilizing processes in multi-wells landscape in \(\mathbb R^d\)-convergence
• Uniform convergence to equilibrium for granular media
• Phase transitions of McKean–Vlasov processes in double-wells landscape
• Logarithmic Sobolev inequalities for inhomogeneous Markov Semigroups
• Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• The geometry of Markov diffusion generators

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