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

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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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Gérard-Varet, D., Han-Kwan, D., & Rousset, F. D. R. (2014). Quasineutral limit of the euler-poisson system for ions in a domain with boundaries II. Journal de l’Ecole Polytechnique - Mathematiques, 1, 343–386. https://doi.org/10.5802/jep.13

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