Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential - Département de mathématiques Access content directly
Preprints, Working Papers, ... Year : 2021

Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential

Abstract

We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator with several local conservation laws (local density, momentum and energy). We exhibit all equilibria and entropy-maximizing special modes, and we prove asymptotic exponential convergence of solutions to them with quantitative rate. This is the first complete picture of hypocoercivity and quantitative $H$-theorem for inhomogeneous kinetic equations in this setting.
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Dates and versions

hal-03222748 , version 1 (10-05-2021)
hal-03222748 , version 2 (12-04-2022)
hal-03222748 , version 3 (23-06-2022)
hal-03222748 , version 4 (30-06-2023)

Identifiers

  • HAL Id : hal-03222748 , version 1

Cite

Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot, et al.. Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential. 2021. ⟨hal-03222748v1⟩

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