Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
Functional Analysis
2022-05-03 v2
Abstract
In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculiar structure of resonant collision rules allows to tensorize the problem into a velocity-related one, neighbouring the monatomic case, and an internal energy-related one. Our analysis is based on a specific treatment of the contributions due to the internal energy of the molecules. We also propose a geometric variant of Grad's proof of the same compactness property in the monatomic case.
Keywords
Cite
@article{arxiv.2204.10551,
title = {Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions},
author = {Thomas Borsoni and Laurent Boudin and Francesco Salvarani},
journal= {arXiv preprint arXiv:2204.10551},
year = {2022}
}