Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations
Analysis of PDEs
2023-03-22 v1
Abstract
We establish the global-in-time existence of weak solutions to a variant of the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] which leads to the barotropic Euler equations in the hydrodynamic limit. Our existence theory makes the quantified estimates of hydrodynamic limit from the BGK-type equations to the multi-dimensional barotropic Euler system discussed by Berthelin and Vasseur [SIAM J. Math. Anal., 36, (2005), 1807--1835] completely rigorous.
Cite
@article{arxiv.2303.11867,
title = {Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations},
author = {Young-Pil Choi and Byung-Hoon Hwang},
journal= {arXiv preprint arXiv:2303.11867},
year = {2023}
}