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arXiv · 1901.01384

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
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Abstract

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.

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Zhouyu Li, Pan Liu, Pengcheng Niu. 2019-01-05. Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation. https://arxiv.org/abs/1901.01384

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