Titre :

Low Field Regime for the Relativistic Vlasov-Maxwell-Fokker-Planck System; the One and One Half Dimensional Case

Auteur(s) :

Bostan, Mihai [Auteur]
Scientific computation and visualization [CALVI]
Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB]
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Titre de la revue :

Kinetic and Related Models

Pagination :

139-170

Éditeur :

AIMS

Date de publication :

2008

ISSN :

1937-5093

Mot(s)-clé(s) en anglais :

Vlasov-Maxwell-Fokker-Planck system
Asymptotic behavior
Diffusion approximation

Discipline(s) HAL :

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

Résumé en anglais : [en]

We study the asymptotic regime for the relativistic Vlasov-Maxwell-Fokker-Planck system which corresponds to a mean free path small compared to the Debye length, chosen as an observation length scale, combined to a large ...
Lire la suite >We study the asymptotic regime for the relativistic Vlasov-Maxwell-Fokker-Planck system which corresponds to a mean free path small compared to the Debye length, chosen as an observation length scale, combined to a large thermal velocity assumption. We are led to a convection-diffusion equation, where the convection velocity is obtained by solving a Poisson equation. The analysis is performed in the one and one half dimensional case and the proof combines dissipation mechanisms and finite speed of propagation properties.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL