Special macroscopic modes and hypocoercivity - Département de mathématiques Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Special macroscopic modes and hypocoercivity

Résumé

We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and energy). We classify all special macroscopic modes (stationary solutions and time-periodic solutions). We also prove the convergence of all solutions of the evolution equation to such non-trivial modes, with a quantitative exponential rate. This is the first hypocoercivity result with multiple special macroscopic modes with constructive estimates depending on the geometry of the potential.
Fichier principal
Vignette du fichier
CDHMMS.pdf (864.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et 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)

Identifiants

Citer

Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot, et al.. Special macroscopic modes and hypocoercivity. 2022. ⟨hal-03222748v3⟩
523 Consultations
162 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More