article

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

Authors: David Gerard-Varet, Daniel Han-kwan and Frederic Rousset

Issue: Volume 62 (2013), Issue 2, 359-402

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 $\mathbb{R}^3$ and thus extends former results by Cordier and Grenier [\textit{Quasi\-neutral limit of an Euler-Poisson system arising from plasma physics}, Comm.\ Partial Differential Equations \textbf{25} (2000), no. 5--6, pp. 1099--1113], who dealt with the same problem in a one-dimensional domain without boundary.$