Particle approximation of the BGK equation
Mathematical Physics
2021-04-20 v2 math.MP
Abstract
In this paper we prove the convergence of a suitable particle system towards the BGK model. More precisely, we consider an interacting stochastic particle system in which each particle can instantaneously thermalize locally. We show that, under a suitable scaling limit, propagation of chaos does hold and that the one-particle distribution function converges to the solution of the BGK equation.
Cite
@article{arxiv.2002.10535,
title = {Particle approximation of the BGK equation},
author = {Paolo Buttà and Maxime Hauray and Mario Pulvirenti},
journal= {arXiv preprint arXiv:2002.10535},
year = {2021}
}
Comments
21 pages