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

David Gérard-Varet; Daniel Han-Kwan; Frédéric Rousset

doi:10.1512/iumj.2013.62.4900

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

David Gérard-Varet
, Daniel Han-Kwan
, Frédéric Rousset

École Polytechnique

Laboratoire de Probabilités et Modèles Aléatoires
UMR 6625

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	359-402
Nombre de pages	44
journal	Indiana University Mathematics Journal
Volume	62
Numéro de publication	2
Les DOIs	https://doi.org/10.1512/iumj.2013.62.4900
état	Publié - 1 janv. 2013

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10.1512/iumj.2013.62.4900

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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 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.",

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AU - Rousset, Frédéric

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N2 - 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.

AB - 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.

KW - Boundary layers

KW - Isothermal Euler-Poisson

KW - Modulated linearized energy

KW - Quasineutral limit

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DO - 10.1512/iumj.2013.62.4900

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SP - 359

EP - 402

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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ER -

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

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