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Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes

Abstract : Combining the results of [14] and [10], the trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation. Under some conditions (that allow non-convex confining potentials) the convergence rate is proven to be independent from the number of particles. From this are derived uniform in time propagation of chaos estimates and an exponentially fast convergence for the semi-linear equation itself.
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https://hal.archives-ouvertes.fr/hal-02504451
Contributor : Pierre Monmarché <>
Submitted on : Tuesday, March 10, 2020 - 5:23:17 PM
Last modification on : Saturday, March 28, 2020 - 1:54:28 AM

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  • HAL Id : hal-02504451, version 1
  • ARXIV : 2003.00735

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Arnaud Guillin, Pierre Monmarché. Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. 2020. ⟨hal-02504451⟩

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