ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE GENERALIZED MHD AND HALL-MHD SYSTEMS IN Rn

被引：2
|
作者：
Zhu, Mingxuan [1 ]
机构：
[1] Jiaxing Univ, Dept Math, Jiaxing 314001, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 03期
关键词：
generalized MHD system; generalized Hall-MHD system; asymptotic behavior; upper bound; lower bound; NAVIER-STOKES EQUATIONS; DATA GLOBAL EXISTENCE; REGULARITY CRITERIA; WELL-POSEDNESS; WEAK SOLUTIONS; DECAY;
D O I：
10.4134/BKMS.b170088
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the asymptotic behavior of solutions to the generalized MHD and Hall-MHD systems. Firstly, the upper bound for the generalized MHD and Hall-MHD systems is investigated in L-2 space. Then, the effect of the Hall term is analyzed. Finally, we optimize the upper bound of decay and obtain their algebraic lower bound for the generalized MHD system by using Fourier splitting method.
引用
收藏
页码：735 / 747
页数：13
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