文献类型：期刊文献

中文题名：STABILITY OF GLOBAL MAXWELLIAN FOR NON-LINEAR VLASOV-POISSON-FOKKER-PLANCK EQUATIONS

英文题名：STABILITY OF GLOBAL MAXWELLIAN FOR NON-LINEAR VLASOV-POISSON-FOKKER-PLANCK EQUATIONS

作者：Jie LIAO[1];Qianrong WANG[1];Xiongfeng YANG[2]

机构：[1]Department of Mathematics, East China University of Science and Technology;[2]School of Mathematical Sciences;[3]Key Laboratory of Scientific and Engineering Computing (MOE),Shanghai Jiao Tong University

年份：2019

卷号：39

期号：1

起止页码：127

中文期刊名：Acta Mathematica Scientia

外文期刊名：数学物理学报（B辑英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2019_2020】；

基金：The research was partially supported by Fundamental Research Funds for the Central Universities, NSFC (11871335) and by the SJTU's SMC Projection.

语种：英文

中文关键词：non-linear;Vlasov–Poisson–Fokker–Planck;equation;global;Maxwellian;global;a;priori;estimates;exponential;convergence

外文关键词：non-linear Vlasov–Poisson–Fokker–Planck equation;global Maxwellian;global a priori estimates;exponential convergence

摘要：In this article, we establish the exponential time decay of smooth solutions around a global Maxwellian to the non-linear Vlasov–Poisson–Fokker–Planck equations in the whole space by uniform-in-time energy estimates. The non-linear coupling of macroscopic part and Fokker–Planck operator in the model brings new difficulties for the energy estimates, which is resolved by adding tailored weighted-in-v energy estimates suitable for the Fokker–Planck operator.
In this article, we establish the exponential time decay of smooth solutions around a global Maxwellian to the non-linear Vlasov–Poisson–Fokker–Planck equations in the whole space by uniform-in-time energy estimates. The non-linear coupling of macroscopic part and Fokker–Planck operator in the model brings new difficulties for the energy estimates, which is resolved by adding tailored weighted-in-v energy estimates suitable for the Fokker–Planck operator.