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arXiv · 1112.0164

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

David Gérard-Varet·Daniel Han-Kwan·Frédéric Rousset
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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 $\R^3$ 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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David Gérard-Varet, Daniel Han-Kwan, Frédéric Rousset. 2011-12-01. Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. https://arxiv.org/abs/1112.0164

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