SMOOTHING EFFECT FOR THE NONLINEAR VLASOV-POISSON-FOKKER-PLANCK SYSTEM

被引：81

作者：

BOUCHUT, F ^{[1
]}

机构：

[1] CNRS,F-45067 ORLEANS 2,FRANCE

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1995年 / 122卷 / 02期

关键词：

D O I：

10.1006/jdeq.1995.1146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a smoothing effect of a non-linear degenerate parabolic problem, the Vlasov-Poisson-Fokker-Planck system, in three dimensions. We prove that a solution gives rise actually to very smooth macroscopic density and force field for positive time. This is obtained by analyzing the effect of the Fokker-Planck kernel on the force term in the Vlasov equation and using classical convolution inequalities. (C) 1995 Academic Press, Inc.

引用

页码：225 / 238

页数：14

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