Low Field Regime for the Relativistic Vlasov-Maxwell-Fokker-Planck System; the One and One Half Dimensional Case - Archive ouverte HAL Access content directly
Journal Articles Kinetic and Related Models Year : 2008

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

Abstract

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.
Fichier principal
Vignette du fichier
ParabVMFP1D2707.pdf (286.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00594960 , version 1 (22-05-2011)

Identifiers

Cite

Mihai Bostan, Thierry Goudon. Low Field Regime for the Relativistic Vlasov-Maxwell-Fokker-Planck System; the One and One Half Dimensional Case. Kinetic and Related Models , 2008, 1 (1), pp.139-170. ⟨10.3934/krm.2008.1.139⟩. ⟨hal-00594960⟩
370 View
79 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More