Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System

被引:45
|
作者
Yang, Tong [1 ]
Yu, Hongjun [2 ]
机构
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
关键词
ENERGY METHOD; EQUATION; DECAY;
D O I
10.1007/s00220-010-1142-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The dynamics of charged dilute particles can be modeled by the two species Vlasov-Poisson-Boltzmann system when the particles interact through collisions in the self-induced electric field. By constructing the compensating function for multi-species particle system, the optimal time decay of global classical solutions to this system near a global Maxwellian is obtained through a refined energy method.
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页码:319 / 355
页数:37
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