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

作者：Zhu, Mingxuan^*

来源：Bulletin of the Korean Mathematical Society, 2018, 55(3): 735-747.

DOI：10.4134/BKMS.b170088

• generalized MHD system
• generalized Hall-MHD system
• asymptotic behavior
• upper bound
• lower bound

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.

• 出版日期2018
• 单位嘉兴学院