文献类型：期刊文献

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

作者：Liao, Jie[1];Wang, Qianrong[1];Yang, Xiongfeng[2,3]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China;[3]Shanghai Jiao Tong Univ, Key Lab Sci & Engn Comp MOE, Shanghai 200240, Peoples R China

年份：2019

卷号：39

期号：1

起止页码：127

外文期刊名：ACTA MATHEMATICA SCIENTIA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000457821700011)】；

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

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.