Particle Approximation of the BGK Equation
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 the one-particle distribution function converges to the solution of the BGK equation.
- Publication:
-
Archive for Rational Mechanics and Analysis
- Pub Date:
- May 2021
- DOI:
- 10.1007/s00205-021-01621-y
- arXiv:
- arXiv:2002.10535
- Bibcode:
- 2021ArRMA.240..785B
- Keywords:
-
- Mathematical Physics;
- 82C40 (Primary) 60K35;
- 82C22 (Secondary)
- E-Print:
- 21 pages