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

  • Laboratoire de Probabilités et Modèles Aléatoires
  • UMR 6625

Research output: Contribution to journalArticlepeer-review

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 and thus extends former results by Cordier and Grenier [Quasineutral limit of an Euler-Poisson system arising from plasma physics, Comm. Partial Differential Equations 25 (2000), no. 5-6, pp. 1099-1113], who dealt with the same problem in a one-dimensional domain without boundary.

Original languageEnglish
Pages (from-to)359-402
Number of pages44
JournalIndiana University Mathematics Journal
Volume62
Issue number2
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Boundary layers
  • Isothermal Euler-Poisson
  • Modulated linearized energy
  • Quasineutral limit

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