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arXiv · 1309.5819

Global Regularity of 2D Generalized MHD Equations with Magnetic Diffusion

Quansen Jiu·Jiefeng Zhao
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Abstract

This paper is concerned with the global regularity of the 2D (two-dimensional) generalized magnetohydrodynamic equations with only magnetic diffusion $Λ^{2β} b$. It is proved that when $β>1 $ there exists a unique global regular solution for this equations. The obtained result improves the previous known one which requires that $β>\frac32$.

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Quansen Jiu, Jiefeng Zhao. 2013-09-23. Global Regularity of 2D Generalized MHD Equations with Magnetic Diffusion. https://doi.org/10.1007/s00033-014-0415-8

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