Dec 12 – 16, 2022
IMT
Europe/Paris timezone

A numerical framework for hypocoercivity in the context of kinetic equations.

Dec 13, 2022, 9:45 AM
45m
Amphithéâtre Schwartz (IMT)

Amphithéâtre Schwartz

IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

Speaker

Alain BLAUSTEIN

Description

We propose a numerical method for a Vlasov-Fokker-Planck model with external applied force field and prove quantitative results ensuring that it is Asymptotic-Preserving for  both the macroscopic regime and the long time behavior simultaneously. We illustrate these results with various numerical experiments in which we observe, among others, transition phase between macroscopic and long time behavior as well as other finer phenomena, such as oscillations, which were not predicted by our theoretical analysis.

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