Dans cet article, nous étudions la limite quasineutre du système d’Euler-Poisson pour les ions dans un domaine à bord. Il s’agit de la suite de notre travail précédent [5], qui était consacré aux cas de conditions limites de type non-pénétration ou sortantes subsoniques. Nous nous focalisons ici sur le cas des vitesses sortantes supersoniques. La structure des couches limites ainsi que le mécanisme de stabilisation sont différents.
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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@article{JEP_2014__1__343_0,
author = {David G\'erard-Varet and Daniel Han-Kwan and Fr\'ed\'eric Rousset},
title = {Quasineutral limit of the {Euler-Poisson} system for ions in a domain with boundaries {II}},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {343--386},
publisher = {\'Ecole polytechnique},
volume = {1},
year = {2014},
doi = {10.5802/jep.13},
mrnumber = {3322792},
zbl = {06389894},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.13/}
}
TY - JOUR AU - David Gérard-Varet AU - Daniel Han-Kwan AU - Frédéric Rousset TI - Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II JO - Journal de l’École polytechnique — Mathématiques PY - 2014 SP - 343 EP - 386 VL - 1 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.13/ DO - 10.5802/jep.13 LA - en ID - JEP_2014__1__343_0 ER -
%0 Journal Article %A David Gérard-Varet %A Daniel Han-Kwan %A Frédéric Rousset %T Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II %J Journal de l’École polytechnique — Mathématiques %D 2014 %P 343-386 %V 1 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.13/ %R 10.5802/jep.13 %G en %F JEP_2014__1__343_0
David Gérard-Varet; Daniel Han-Kwan; Frédéric Rousset. Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II. Journal de l’École polytechnique — Mathématiques, Tome 1 (2014), pp. 343-386. doi : 10.5802/jep.13. https://jep.centre-mersenne.org/articles/10.5802/jep.13/
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