Quasineutral limit of the euler-poisson system for ions in a domain with boundaries II

David Gérard-Varet; Daniel Han-Kwan; Frédéric D.R. Rousset

doi:10.5802/jep.13

Quasineutral limit of the euler-poisson system for ions in a domain with boundaries II

David Gérard-Varet
, Daniel Han-Kwan
, Frédéric D.R. Rousset

École Polytechnique

Université Paris Cité
Laboratoire de Mathématiques d'Orsay

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.

Original language	English
Pages (from-to)	343-386
Number of pages	44
Journal	Journal de l'Ecole Polytechnique - Mathematiques
Volume	1
DOIs	https://doi.org/10.5802/jep.13
Publication status	Published - 1 Jan 2014

Keywords

Boundary layers
Isothermal Euler-Poisson equations
Quasineutral limit
Supersonic boundary conditions

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10.5802/jep.13

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abstract = "In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.",

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AU - Rousset, Frédéric D.R.

N1 - Publisher Copyright: © Les auteurs, 2014.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.

AB - In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.

KW - Boundary layers

KW - Isothermal Euler-Poisson equations

KW - Quasineutral limit

KW - Supersonic boundary conditions

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JF - Journal de l'Ecole Polytechnique - Mathematiques

ER -

Quasineutral limit of the euler-poisson system for ions in a domain with boundaries II

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Keywords

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