Particle approximation of the BGK equation

24 Feb 2020 · Buttà Paolo, Hauray Maxime, Pulvirenti Mario ·

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.