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.
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页码：1013 / 1026
页数：14
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