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arXiv · 2303.11867

Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations

Young-Pil Choi·Byung-Hoon Hwang
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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.

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Young-Pil Choi, Byung-Hoon Hwang. 2023-03-21. Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations. https://arxiv.org/abs/2303.11867

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