Global mild solutions to the relativistic Vlasov-Poisson-Fokker-Planck system in the whole space

被引：0
|
作者：
Tan, Lihua [1 ]
Fan, Yingzhe [2 ]
机构：
[1] Hubei Univ Educ, Sch Math & Stat, Wuhan 430205, Peoples R China
[2] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 183卷
基金：
中国国家自然科学基金;
关键词：
Relativistic Vlasov-Poisson-Fokker-Planck system; Global existence; The whole space; Low regularity space; CLASSICAL-SOLUTIONS; EXISTENCE; EQUATION;
D O I：
10.1016/j.chaos.2024.114882
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this manuscript, we consider the Cauchy problem of the relativistic Vlasov-Poisson-Fokker-Planck system in the whole space. The global existence and the exponential time decay rates of the mild solutions around a global relativistic Maxwellian are obtained under assumption that initial data satisfies some smallness in the low regularity space (LkLTLv2)-L-1-L-infinity.
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页数：7
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