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arxiv: 1112.0164 · v1 · pith:XCTXQTK3new · submitted 2011-12-01 · 🧮 math.AP

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

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keywords domaineuler-poissonionslimitquasineutralsystemachievedanalysis
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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.

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