Convergence of the Vlasov-Poisson-Boltzmann System to the Incompressible Euler Equations

被引：0
|
作者：
Ling HSIAO Academy of Mathematics and Systems Science
机构：
来源：
Acta Mathematica Sinica,English Series | 2007年 / 23卷 / 04期
关键词：
Vlasov-Poisson-Boltzmann system; Euler equations of the incompressible fluid; Relativeentropy method;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system tothe incompressible Euler equations in the so-called quasi-neutral regime.The convergence is rigorouslyproved for time intervals on which the smooth solution of the Euler equations of the incompressiblefluid exists.The proof relies on the relative-entropy method.
引用
收藏
页码：761 / 768
页数：8
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