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http://dx.doi.org/10.4134/BKMS.b170088

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

Zhu, Mingxuan (Department of Mathematics Jiaxing University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.3, 2018 , pp. 735-747 More about this Journal
Abstract
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;
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