Determination of equilibrium parameters of the Marle model for polyatomic gases

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1. Verfasser: Hwang, Byung-Hoon
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Veröffentlicht: 2023
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author Hwang, Byung-Hoon
author_facet Hwang, Byung-Hoon
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_10301
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Determination of equilibrium parameters of the Marle model for polyatomic gases
Hwang, Byung-Hoon
Analysis of PDEs
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.
title Determination of equilibrium parameters of the Marle model for polyatomic gases
topic Analysis of PDEs
url https://arxiv.org/abs/2311.10301