TIME-PERIODIC SOLUTIONS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM

被引：11

作者：

Duan, Renjun ^{[1
]}

Liu, Shuangqian ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Vlasov-Poisson-Fokker-Planck system; time-periodic solution; energy method; exponential time-decay; GLOBAL CLASSICAL-SOLUTIONS; BOLTZMANN-EQUATION; EQUILIBRIUM; EXISTENCE; TREND; BEHAVIOR;

D O I：

10.1016/S0252-9602(15)30026-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note it is shown that the Vlasov-Poisson-Fokker-Planck system in the three-dimensional whole space driven by a time-periodic background profile near a positive constant state admits a time-periodic small-amplitude solution with the same period. The proof follows by the Serrin's method on the basis of the exponential time-decay property of the linearized system in the case of the constant background profile.

引用

页码：876 / 886

页数：11

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