Growth estimates and uniform decay for the Vlasov-Poisson system

被引：6

作者：

Yang, Dongcheng ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 13期

关键词：

Vlasov-Poisson system; asymptotic behavior; electric field; COLLISIONLESS PLASMA; ASYMPTOTIC GROWTH; KINETIC-EQUATIONS; GLOBAL EXISTENCE; LARGE VELOCITIES; DIMENSIONS; TIME DECAY; PROPAGATION; MOMENTS;

D O I：

10.1002/mma.4356

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider smooth compactly supported solution to the classical Vlasov-Poisson system in three space dimensions in the electrostatic case. An estimate on velocities is derived, showing a growth rate at most like the power 1/8 of the time variable. As a consequence, a better decay estimate is obtained for the electric field in the L-infinity norm. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：4906 / 4916

页数：11

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