Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II
[Limite quasineutre du système d’Euler-Poisson pour les ions dans un domaine à bord II]
Gérard-Varet, David ; Han-Kwan, Daniel ; Rousset, Frédéric
Journal de l'École polytechnique - Mathématiques, Tome 1 (2014), p. 343-386 / Harvested from Numdam
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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.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/jep.13
Classification:  76N20,  76X05
Mots clés: Équations d’Euler-Poisson isothermes, limite quasineutre, couches limites, conditions aux limites supersoniques 
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     author = {G\'erard-Varet, David and Han-Kwan, Daniel and Rousset, Fr\'ed\'eric},
     title = {Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II},
     journal = {Journal de l'\'Ecole polytechnique - Math\'ematiques},
     volume = {1},
     year = {2014},
     pages = {343-386},
     doi = {10.5802/jep.13},
     zbl = {06275539},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEP_2014__1__343_0}
}

Gérard-Varet, David; Han-Kwan, Daniel; Rousset, Frédéric. 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. http://gdmltest.u-ga.fr/item/JEP_2014__1__343_0/

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