LOW FIELD REGIME FOR THE RELATIVISTIC VLASOV-MAXWELL-FOKKER-PLANCK SYSTEM; THE ONE AND ONE HALF DIMENSIONAL CASE

被引：0

作者：

Bostan, Mihai ^{[1
]}

Goudon, Thierry ^{[2
,3
]}

机构：

[1] Univ Franche Comte, CNRS, UMR 6623, Lab Math Besancon, F-25030 Besancon, France

[2] INRIA Res Ctr Futurs, INRIA Project Team SIMPAF, F-59650 Villeneuve Dascq, France

[3] INRIA Res Ctr Futurs, CNRS, UMR 8524, Lab Paul Painleve, F-59650 Villeneuve Dascq, France

来源：

关键词：

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

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：139 / 170

页数：32

共 48 条

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