2023/11/17 by Byung-Hoon Hwang, Hwang, Byung-Hoon
Chemical Engineering · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Catalysis and Oxidation Reactions #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Material Science and Thermodynamics
paper · pdf · doi:10.48550/arxiv.2311.10301
openalex publication_date 2023/11/17 · openalex created_date 2023/11/21 · openalex updated_date 2026/07/28
The BGK model is a relaxation-time approximation of the celebrated Boltzmann equation, and the Marle model is a direct extension of the BGK model in a relativistic framework. In this paper, we introduce the Marle model for polyatomic gases based on the Jüttner distribution devised in [Ann. Phys., 377, (2017), 414--445], and show the existence of a unique set of equilibrium parameters of the Jüttner distribution.