On the Cauchy problem for the relativistic Vlasov-Poisson-Fokker-Planck system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Ma, Xuan¹ 

[1] Wuhan Text Univ, Coll Math & Comp Sci, Wuhan 430073, Peoples R China

关键词: Exponential time decay rate;    Relativistic;    Vlasov-Poisson-Fokker-Planck system;   

DOI  :  10.1016/j.jmaa.2019.02.070

来源: Elsevier

【 摘 要 】

We consider the Cauchy problem for the relativistic Vlasov-Poisson-Fokker-Planck system in the whole space. For perturbative initial data with suitable regularity, we obtain the global classical solutions and prove the exponential time decay rate to the equilibrium around a global relativistic Maxwellian. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free