2024/03/31 by Byung-Hoon Hwang, Hwang, Byung-Hoon, Myeong-Su Lee +1 · 1 citation
Mathematics · Physics and Astronomy · #34K21 #35Q20 #35Q75 #76P05 #83A05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Laser-Plasma Interactions and Diagnostics
paper · pdf · doi:10.48550/arxiv.2404.00755
openalex publication_date 2024/03/31 · openalex created_date 2024/04/04 · openalex updated_date 2026/07/28
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.