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

被引：36

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

页码：133 / 154

页数：22

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[3]

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