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Steady states in plasma physics—the Vlasov–Fokker–Planck equation

✍ Scribed by Klaus Dressler

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
718 KB
Volume
12
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we investigate the non‐linear Vlasov–Fokker–Planck (VFP) equation, a both physically and mathematically interesting modification of Vlasov's equation, which describes a plasma in a thermal bath. We prove existence, uniqueness and representation results for steady states of the VFP equation both in the case of a mollified interaction potential and for the VFP–Poisson system. The uniqueness and representation results are of special interest since they distinguish special solutions of the Vlasov equation.

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