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

Published online by Cambridge University Press:  12 July 2007

Yue-Jun Peng ,
Ya-Guang Wang  and
Wen-An Yong
Yue-Jun Peng
Affiliation:
Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France (peng@math.univ-bpclermont.fr)
Ya-Guang Wang
Affiliation:
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China (ygwang@sjtu.edu.cn)
Wen-An Yong
Affiliation:
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 5 , October 2006 , pp. 1013 - 1026
Copyright
Copyright © Royal Society of Edinburgh 2006

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