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

页码：761 / 768

页数：8

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