Quasi-neutral limit of the non-isentropic Euler-Poisson system

被引：39

作者：

Peng, Yue-Jun ^{[1
]}

Wang, Ya-Guang

Yong, Wen-An

机构：

[1] Univ Clermont Ferrand, CNRS, UMR 6620, Math Lab, F-63177 Clermont Ferrand, France

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Tsing Hua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1017/S0308210500004856

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with multi-dimensional non-isentropic Euler-Poisson equations for plasmas or semiconductors. By using the method of formal asymptotic expansions, we analyse the quasi-neutral limit for Cauchy problems with prepared initial data. It is shown that the small-parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems have smooth solutions. Moreover, the formal limit is justified.

引用

页码：1013 / 1026

页数：14

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