Special macroscopic modes and hypocoercivity - Département de mathématiques Access content directly
Preprints, Working Papers, ... Year : 2022

Special macroscopic modes and hypocoercivity


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
Origin Files produced by the author(s)

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)
hal-03222748 , version 5 (10-07-2024)



Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot, et al.. Special macroscopic modes and hypocoercivity. 2022. ⟨hal-03222748v3⟩
546 View
185 Download



Gmail Mastodon Facebook X LinkedIn More