First Edition
GradKinReadiGKR-21

Recent advances in
Gradient Flows,
Kinetic Theory, and
Reaction-Diffusion Equations

13-16 July 2021

"Quantified overdamped limit for Kinetic Vlasov-Fokker-Planck equations"

Tse, Oliver

The study of the overdamped limit for the kinetic Fokker-Planck equation has been of interest since the seminal work of Kramers in 1940, where he formally discussed the convergence by introducing a coarse-graining map. This talk is based on a recent work with Young-Pil Choi, where we provide a framework to establish quantitative estimates for the overdamped limit of the kinetic Vlasov-Fokker-Planck with singular interaction in terms of the 2-Wasserstein distance.

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