Stability analysis of a Vlasov-Wave system describing particles interacting with their environment - Archive ouverte HAL Access content directly
Journal Articles Journal of Differential Equations Year : 2018

Stability analysis of a Vlasov-Wave system describing particles interacting with their environment

(1, 2) , (3, 4) , (3, 4)
1
2
3
4

Abstract

We study a kinetic equation of the Vlasov-Wave type, which arises in the description of the behaviour of a large number of particles interacting weakly with an environment, composed of an infinite collection of local vibrational degrees of freedom, modeled by wave equations. We use variational techniques to establish the existence of large families of stationary states for this system, and analyze their stability.
Fichier principal
Vignette du fichier
Stability_VW_July.pdf (386.71 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01581676 , version 1 (05-09-2017)

Identifiers

  • HAL Id : hal-01581676 , version 1

Cite

Stephan de Bièvre, Thierry Goudon, Arthur Vavasseur. Stability analysis of a Vlasov-Wave system describing particles interacting with their environment. Journal of Differential Equations, 2018, 264 (12), pp.7069-7093. ⟨hal-01581676⟩
401 View
168 Download

Share

Gmail Facebook Twitter LinkedIn More