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Existence of stationary, collisionless plasmas in bounded domains

✍ Scribed by Gerhard Rein

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
426 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider a collisionless plasma, which consists of electrons and positively charged ions and is confined to a bounded domain in ℝ^3^. The distribution functions of the particles are assumed to satisfy specular reflections on the boundary of the domain and the boundary is assumed to be perfectly conducting. We establish the existence of stationary plasmas in the non‐relativistic, electrostatic case described by the Vlasov–Poisson system as well as in the relativistic, electrodynamic case described by the relativistic Vlasov–Maxwell system.

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