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arXiv · 2404.00755

Stationary solutions to the relativistic BGK model for gas mixtures in a slab

Byung-Hoon Hwang·Myeong-Su Lee
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Abstract

In a recent paper [16], the authors proposed a BGK model for relativistic gas mixtures based on the Marle-type approximation, which satisfies the fundamental kinetic properties: non-negativity of distribution functions, conservation laws, H-theorem, and indifferentiability principle. In this paper, we are concerned with the stationary problems to the relativistic BGK model for gas mixtures in slab geometry. We establish the existence of a unique mild solution with the fixed inflow boundary data when the collision frequencies for each species are sufficiently small.

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Byung-Hoon Hwang, Myeong-Su Lee. 2024-03-31. Stationary solutions to the relativistic BGK model for gas mixtures in a slab. https://arxiv.org/abs/2404.00755

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