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

David GérardVaret | Zendy; Daniel Han-Kwan | Zendy; Frédéric Rousset | Zendy

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

Author(s) -

David GérardVaret,

Daniel Han-Kwan,

Frédéric Rousset

Publication year - 2013

Publication title -

indiana university mathematics journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.317

H-Index - 69

eISSN - 1943-5258

pISSN - 0022-2518

DOI - 10.1512/iumj.2013.62.4900

Subject(s) - limit (mathematics) , euler's formula , poisson distribution , domain (mathematical analysis) , boundary (topology) , massless particle , mathematics , ion , isothermal process , mathematical analysis , partial differential equation , mathematical physics , physics , quantum mechanics , thermodynamics , statistics

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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