Stationary solutions of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition

DOI10.1016/j.aml.2015.08.003zbMath1357.35264arXiv1505.01212OpenAlexW2963942940WikidataQ59902343 ScholiaQ59902343MaRDI QIDQ900995

Julian Tugaut, Manh Hong Duong

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01212

zbMATH Keywords

stochastic processesinvariant measureMcKean-Vlasov equationVlasov-Fokker-Planck equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Related Items (5)

Long-time behaviour and propagation of chaos for mean field kinetic particles ⋮ Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes ⋮ Existence and non-uniqueness of stationary distributions for distribution dependent SDEs ⋮ The Vlasov-Fokker-Planck equation in non-convex landscapes: convergence to equilibrium ⋮ A trajectorial approach to relative entropy dissipation of McKean-Vlasov diffusions: gradient flows and HWBI inequalities

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