Global Existence and Long-Time Behavior of Solutions to the Vlasov–Poisson–Fokker–Planck System

被引：0
|
作者：
Xiaolong Wang
机构：
[1] East China University of Technology,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2020年 / 170卷
关键词：
Energy method; Global existence; Decay rate; Macro–micro decomposition; Fourier analysis; 35Q84; 82D05;
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摘要：
In this paper, we study the global existence of solutions to the Vlasov–Poisson–Fokker–Planck system in the whole space by using the refined energy method. In the proof, the a priori estimates on the macroscopic and microscopic components of solutions are obtained by use of the macroscopic balance laws. As a by-product, the algebraic decay rate of solutions converge to the global Maxwellian, which established by employing the Fourier analysis.
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页码：853 / 881
页数：28
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