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

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.
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Preprints, Working Papers, ...
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https://hal.sorbonne-universite.fr/hal-03648331
Contributor : Thomas Borsoni Connect in order to contact the contributor
Submitted on : Saturday, April 30, 2022 - 5:10:17 PM
Last modification on : Tuesday, May 3, 2022 - 3:46:29 AM

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  • HAL Id : hal-03648331, version 2
  • ARXIV : 2204.10551

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Thomas Borsoni, Laurent Boudin, Francesco Salvarani. Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions. 2022. ⟨hal-03648331v2⟩

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