Article ID Journal Published Year Pages File Type
5130140 Stochastic Processes and their Applications 2017 17 Pages PDF
Abstract

The trend to equilibrium in large time is studied for a large particle system associated to a Vlasov-Fokker-Planck equation in the presence of a convex external potential, without smallness restriction on the interaction. From this are derived uniform in time propagation of chaos estimates, which themselves yield in turn an exponentially fast convergence for the semi-linear equation itself. The approach is quantitative.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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