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

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

31 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	343-386
Nombre de pages	44
journal	Journal de l'Ecole Polytechnique - Mathematiques
Volume	1
Les DOIs	https://doi.org/10.5802/jep.13
état	Publié - 1 janv. 2014

Accès au document

10.5802/jep.13

Contient cette citation

@article{abb1d4abb2cc4a36bfb1efd1053f7da1,

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

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.",

keywords = "Boundary layers, Isothermal Euler-Poisson equations, Quasineutral limit, Supersonic boundary conditions",

author = "David G{\'e}rard-Varet and Daniel Han-Kwan and Rousset, \{Fr{\'e}d{\'e}ric D.R.\}",

note = "Publisher Copyright: {\textcopyright} Les auteurs, 2014.",

year = "2014",

month = jan,

day = "1",

doi = "10.5802/jep.13",

language = "English",

volume = "1",

pages = "343--386",

journal = "Journal de l'Ecole Polytechnique - Mathematiques",

issn = "2429-7100",

publisher = "Ecole Polytechnique",

}

TY - JOUR

T1 - Quasineutral limit of the euler-poisson system for ions in a domain with boundaries II

AU - Gérard-Varet, David

AU - Han-Kwan, Daniel

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

U2 - 10.5802/jep.13

DO - 10.5802/jep.13

M3 - Article

AN - SCOPUS:84992184452

SN - 2429-7100

VL - 1

SP - 343

EP - 386

JO - Journal de l'Ecole Polytechnique - Mathematiques

JF - Journal de l'Ecole Polytechnique - Mathematiques

ER -

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

Résumé

Accès au document

Empreinte digitale

Contient cette citation