The Vlasov-Fokker-Planck equation in non-convex landscapes: convergence to equilibrium

DOI10.1214/18-ECP116zbMath1387.60089arXiv1708.00840OpenAlexW2963488431WikidataQ59902314 ScholiaQ59902314MaRDI QIDQ1748571

Julian Tugaut, Manh Hong Duong

Publication date: 11 May 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00840

zbMATH Keywords

stochastic processesasymptotic behaviourkinetic equationVlasov-Fokker-Planck equationgranular media equationfree-energy

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Diffusion processes (60J60) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Related Items

Well-posedness and stationary solutions of McKean-Vlasov (S)PDEs, A variational approach to nonlinear and interacting diffusions, Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases, A trajectorial approach to relative entropy dissipation of McKean-Vlasov diffusions: gradient flows and HWBI inequalities

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