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arXiv:1901.01384 [math.AP]AbstractReferencesReviewsResources

Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation

Zhouyu Li, Pan Liu, Pengcheng Niu

Published 2019-01-05Version 1

This paper is concerned with the Cauchy problem of the two-dimensional MHD system with magnetic diffusion. It was proved that the MHD equations have a unique global strong solution around the equilibrium state $(0, e_1)$. Furthermore, the $L^2$ decay rate of the velocity and magnetic field is obtained.

Categories: math.AP
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