A RIGOROUS STABILITY RESULT FOR THE VLASOV-POISSON SYSTEM IN 3 DIMENSIONS

被引：35
|
作者：
BATT, J [1 ]
REIN, G [1 ]
机构：
[1] UNIV MUNICH,INST MATH,W-8000 MUNICH 2,GERMANY
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1993年 / 164卷
关键词：
D O I：
10.1007/BF01759319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proven that in a neutral two-component plasma with space homogeneous positively charged background, which is governed by the Vlasov-Poisson system and for which Poisson's equation is considered on a cube in R3 with periodic boundary conditions, the space homogeneous stationary solutions g with energy gradient partial derivative g/partial derivative epsilon less-than-or-equal-to 0 and compact support are (nonlinearly) stable in the L1-norm with respect to weak solutions of the initial value problem.
引用
收藏
页码：133 / 154
页数：22
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