Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases

نویسندگان

چکیده

We prove the existence of a contraction rate for Vlasov-Fokker-Planck equation in Wasserstein distance, provided interaction potential is Lipschitz continuous and confining both (locally) greater than quadratic function, thus requiring no convexity conditions. Our strategy relies on coupling methods suggested by A. Eberle [22] adapted to kinetic setting enabling also obtain uniform time propagation chaos non convex setting.

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ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2022

ISSN: ['1083-6489']

DOI: https://doi.org/10.1214/22-ejp853