Title :

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

Author(s) :

De Bievre, Stephan [Auteur]
Méthodes quantitatives pour les modèles aléatoires de la physique [MEPHYSTO-POST]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Goudon, Thierry [Auteur]
Laboratoire Jean Alexandre Dieudonné [LJAD]
COmplex Flows For Energy and Environment [COFFEE]
Vavasseur, Arthur [Auteur]
Laboratoire Jean Alexandre Dieudonné [LJAD]
COmplex Flows For Energy and Environment [COFFEE]

Journal title :

Journal of Differential Equations

Pages :

7069-7093

Publisher :

Elsevier

Publication date :

2018-06-15

ISSN :

0022-0396

English keyword(s) :

Vlasov–like equations
Dynamical stability
Inelastic Lorentz gas
Interacting particles

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL