Energy method for the Boltzmann equation of monatomic gaseous mixtures
Analysis of PDEs
2023-05-24 v2
Abstract
In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Boltzmann equation around a global equilibrium is decomposed into the sum of a macroscopic and a microscopic part, for which we obtain a priori estimates at both lower and higher orders. These estimates are obtained under a suitable smallness assumption. The assumption can be justified a posteriori in the higher-order case, leading to the closure of the corresponding estimate.
Keywords
Cite
@article{arxiv.2110.07213,
title = {Energy method for the Boltzmann equation of monatomic gaseous mixtures},
author = {Laurent Boudin and Bérénice Grec and Milana Pavić-Čolić and Srboljub Simić},
journal= {arXiv preprint arXiv:2110.07213},
year = {2023}
}