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Article Dans Une Revue Communications in Mathematical Sciences Année : 2023

Energy method for the Boltzmann equation of monatomic gaseous mixtures

Résumé

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.
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Dates et versions

hal-03376932 , version 1 (13-10-2021)
hal-03376932 , version 2 (16-05-2023)

Identifiants

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Laurent Boudin, Bérénice Grec, Milana Pavić-Čolić, Srboljub Simić. Energy method for the Boltzmann equation of monatomic gaseous mixtures. Communications in Mathematical Sciences, inPress, 22 (1), pp.137-166. ⟨10.4310/CMS.2024.v22.n1.a6⟩. ⟨hal-03376932v2⟩
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