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.
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页码：4906 / 4916
页数：11
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