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High-order expansions in the quasi-neutral limit of the Euler–Poisson system for a potential flow

Published online by Cambridge University Press:  18 September 2007

Ingrid Violet
Ingrid Violet
Affiliation:
Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal de Clermont-Ferrand 2, 63177 Aubière Cedex, France (violet@math.univ-bpclermont.fr)
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Abstract

We are interested in the steady-state Euler–Poisson system for a potential flow used in the mathematical modelling of plasmas and semiconductors. In the case of the quasi-neutral limit, boundary layers can appear. We study this limit by using an asymptotic expansion. We show the existence and uniqueness of each profile and give the justification of the asymptotic expansion up to any order.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 5 , October 2007 , pp. 1101 - 1118
Copyright
2007 Royal Society of Edinburgh

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