Stationary solutions to the relativistic BGK model for gas mixtures in a slab
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| Format: | Preprint |
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2024
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| _version_ | 1866910393209716736 |
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| author | Hwang, Byung-Hoon Lee, Myeong-Su |
| author_facet | Hwang, Byung-Hoon Lee, Myeong-Su |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_00755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary solutions to the relativistic BGK model for gas mixtures in a slab Hwang, Byung-Hoon Lee, Myeong-Su Analysis of PDEs 34K21, 35Q20, 35Q75, 76P05, 83A05 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. |
| title | Stationary solutions to the relativistic BGK model for gas mixtures in a slab |
| topic | Analysis of PDEs 34K21, 35Q20, 35Q75, 76P05, 83A05 |
| url | https://arxiv.org/abs/2404.00755 |