Non-relativistic limit of two-fluid Euler-Maxwell equations arising from plasma physics

被引：2

作者：

Yang, Jianwei ^{[1
]}

Wang, Shu ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2009年 / 89卷 / 12期

关键词：

Two-fluid Euler-Maxwell equations; two-fluid compressible Euler-Poisson equations; non-relativistic limit; asymptotic expansion and convergence; QUASI-NEUTRAL LIMIT; POISSON SYSTEM; CONVERGENCE; MODEL;

D O I：

10.1002/zamm.200900267

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the convergence of two-fluid time-dependent Euler-Maxwell equations to two-fluid compressible Euler-Poisson equations in a torus via the non-relativistic limit is studied. The local existence of smooth solutions to both systems is proved by using energy estimates for first order symmetrizable hyperbolic systems. For well prepared initial data, the method of asymptotic expansion and energy methods are used to rigorously justify the convergence of the limit. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：981 / 994

页数：14

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