Title :

Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov–Poisson system

Author(s) :

De Bievre, Stephan [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Méthodes quantitatives pour les modèles aléatoires de la physique [MEPHYSTO-POST]
Vavasseur, Arthur [Auteur]
COmplex Flows For Energy and Environment [COFFEE]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Goudon, Thierry [Auteur]
COMUE Université Côte d'Azur (2015-2019) [COMUE UCA]
COmplex Flows For Energy and Environment [COFFEE]
Laboratoire Jean Alexandre Dieudonné [LJAD]

Journal title :

SIAM Journal on Mathematical Analysis

Pages :

3984--4020

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2016

ISSN :

0036-1410

English keyword(s) :

Inelastic Lorentz gas.
Interacting particles
Vlasov–like equations

HAL domain(s) :

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

English abstract : [en]

We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational degrees of freedom. We establish the existence ...
Show more >We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational degrees of freedom. We establish the existence of weak solutions for a wide class of initial data and external forces. We also identify a relevant regime which allows us to derive, quite surprisingly, the attractive Vlasov–Poisson system from the coupled Vlasov-Wave equations.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL