Global Regularity of the Logarithmically Supercritical MHD System in Two-dimensional Space |
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| Authors: | Min Cheng |
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| Institution: | Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China |
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| Abstract: | In this paper, we study the global regularity of logarithmically supercritical MHD equations in $2$ dimensional, in which the dissipation terms are $-\mu\Lambda^{2\alpha}u$ and $-\nu\mathcal{L}^{2\beta} b$. We show that global regular solutions in the cases $0<\alpha<\frac{1}{2},\beta>1,3\alpha+2\beta>3$. |
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| Keywords: | Logarithmically supercritical MHD system Global regularity |
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