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Energy method for the Boltzmann equation of monatomic gaseous mixtures

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 Bolzmann 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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https://hal.archives-ouvertes.fr/hal-03376932
Contributor : Laurent Boudin Connect in order to contact the contributor
Submitted on : Wednesday, October 13, 2021 - 6:26:45 PM
Last modification on : Friday, October 15, 2021 - 3:45:21 AM

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  • HAL Id : hal-03376932, version 1
  • ARXIV : 2110.07213

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Laurent Boudin, Bérénice Grec, Milana Pavić-Čolić, Srboljub Simić. Energy method for the Boltzmann equation of monatomic gaseous mixtures. 2021. ⟨hal-03376932⟩

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