Bull. Korean Math. Soc. 2018; 55(3): 735-747
Online first article April 3, 2018 Printed May 31, 2018
https://doi.org/10.4134/BKMS.b170088
Copyright © The Korean Mathematical Society.
Mingxuan Zhu
Jiaxing University
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.
Keywords: generalized MHD system, generalized Hall-MHD system, asymptotic behavior, upper bound, lower bound
MSC numbers: 35Q35, 35B65, 76D05
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