English

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

Analysis of PDEs 2011-12-02 v1

Abstract

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 R3\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.

Keywords

Cite

@article{arxiv.1112.0164,
  title  = {Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries},
  author = {David Gérard-Varet and Daniel Han-Kwan and Frédéric Rousset},
  journal= {arXiv preprint arXiv:1112.0164},
  year   = {2011}
}

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32 pages