Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries

Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
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DOI:
10.1512/iumj.2013.62.4900
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发表时间:
2011-12
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
David G'erard-Varet;Daniel Han-Kwan;F. Rousset
David G'erard-Varet;Daniel Han-Kwan;F. Rousset
中科院分区:
其他
文献类型:
--
作者:
David G'erard-Varet;Daniel Han-Kwan;F. Rousset

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本文研究了描述由离子和无质量电子组成的等离子体的等温Euler-Poisson系统的拟中性极限。该分析是在$\R^3 $的区域中实现的,因此推广了Cordier和Grenier的先前结果[Comm. Partial Differential Equations,25(2000),pp.~ 1099- 1113],他在一维无边界区域中处理了同样的问题。
We study the quasineutral limit of the isothermal Euler-Poisson system describing a plasma made of ions and massless electrons. The analysis is achieved in a domain of $\R^3$ and thus extends former results by Cordier and Grenier [Comm. Partial Differential Equations, 25 (2000), pp.~1099--1113], who dealt with the same problem in a one-dimensional domain without boundary.