English

Compactness of linearized Boltzmann operators for polyatomic gases

Analysis of PDEs 2024-07-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2407.11452,
  title  = {Compactness of linearized Boltzmann operators for polyatomic gases},
  author = {Niclas Bernhoff and Laurent Boudin and Milana Čolić and Bérénice Grec},
  journal= {arXiv preprint arXiv:2407.11452},
  year   = {2024}
}
R2 v1 2026-06-28T17:42:37.840Z