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一维线性Vlasov-Poisson方程组的衰减估计
引用本文:李彬,沈洁琼. 一维线性Vlasov-Poisson方程组的衰减估计[J]. 平顶山学院学报, 2014, 0(5): 15-19
作者姓名:李彬  沈洁琼
作者单位:四川大学锦城学院 基础课部 数学教研室,四川 成都,611731
摘    要:研究了一类带异种电荷无碰撞的等离子体运动模型(Vlasov-Poisson方程组),在一维情况下得到了线性Vlasov-Poisson方程组的一个重要不等式,同时利用此不等式研究其解的长时间行为,并给出了相应的衰减估计.

关 键 词:Vlasov-Poisson方程组  长时间行为  衰减估计

Decay Estimates for One Dimensional Linearized Vlasov - Poisson System
LI Bin,SHEN Jieqiong. Decay Estimates for One Dimensional Linearized Vlasov - Poisson System[J]. Journal of Pingdingshan University, 2014, 0(5): 15-19
Authors:LI Bin  SHEN Jieqiong
Affiliation:,Dept. of Math. ,Jincheng College of Sichuan University
Abstract:The Vlasov-Poisson system,a motion model of a collisionless plasma with two species of oppositely charged particles is studied. An important inequality of one dimensional linearized Vlasov- Poisson system is obtained and is used to study the long- time behavior of solutions. Some decay estimates of solutions are established.
Keywords:Vlasov - Poisson System  long - time behavior  decay estimates
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