Compactness of linearized Boltzmann operators for polyatomic gases

Fuente: arXiv
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Autores principales: Bernhoff, Niclas, Boudin, Laurent, Čolić, Milana, Grec, Bérénice
Formato: Preprint
Publicado: 2024
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author Bernhoff, Niclas
Boudin, Laurent
Čolić, Milana
Grec, Bérénice
author_facet Bernhoff, Niclas
Boudin, Laurent
Čolić, Milana
Grec, Bérénice
contents In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture case. Eventually, with a specific collision kernel, we present a discussion about the physical relevance of the assumptions used to obtain the compactness results.
format Preprint
id arxiv_https___arxiv_org_abs_2407_11452
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Compactness of linearized Boltzmann operators for polyatomic gases
Bernhoff, Niclas
Boudin, Laurent
Čolić, Milana
Grec, Bérénice
Analysis of PDEs
In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture case. Eventually, with a specific collision kernel, we present a discussion about the physical relevance of the assumptions used to obtain the compactness results.
title Compactness of linearized Boltzmann operators for polyatomic gases
topic Analysis of PDEs
url https://arxiv.org/abs/2407.11452