STEADY-STATES IN PLASMA PHYSICS - THE VLASOV-FOKKER-PLANCK EQUATION

被引：22
|
作者：
DRESSLER, K
机构：
[1] Fb Mathematik, Universität Kaiserslautern, Kaiserslautern
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1990年 / 12卷 / 06期
关键词：
D O I：
10.1002/mma.1670120603
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. Copyright © 1990 John Wiley & Sons, Ltd
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收藏
页码：471 / 487
页数：17
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