Large Time Behavior of the Vlasov-Poisson-Boltzmann System

被引：0
|
作者：
Li, Li [1 ]
Jin, Shuilin [2 ]
Yang, Li [3 ]
机构：
[1] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150080, Peoples R China
[3] Harbin Finance Univ, Dept Fdn, Harbin 150030, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
EQUATION; EQUILIBRIUM; TREND;
D O I：
10.1155/2013/632903
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The motion of dilute charged particles can be modeled by Vlasov-Poisson-Boltzmann system. We study the large time stability of the VPB system. To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate O(t(-infinity)), by using a method developed for Boltzmann equation without force in the work of Desvillettes and Villani (2005). The improvement of the present paper is the removal of condition on parameter lambda as in the work of Li (2008).
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页数：9
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