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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2023

Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions

Résumé

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.
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Dates et versions

hal-03648331 , version 1 (21-04-2022)
hal-03648331 , version 2 (30-04-2022)

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Thomas Borsoni, Laurent Boudin, Francesco Salvarani. Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions. Journal of Mathematical Analysis and Applications, 2023, 517 (1), ⟨10.1016/j.jmaa.2022.126579⟩. ⟨hal-03648331v2⟩
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