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The 2<i>D</i> MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion
Department of Mathematics, Jinan University, Guangzhou, China
- 1 Department of Mathematics, Jinan University, Guangzhou, China
American Journal of Computational Mathematics·Volume 09 (2019)·Pages 81–96·Published 8 April 2019·DOI10.4236/ajcm.2019.92007
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Abstract
In this paper, we study the global regularity of the classical solution of the 2 D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u 2 , b 2 ) has a global L 2r -bound, where r satisfies and the boundary does not grow faster than as r increases.
KeywordsMHD EquationGlobal RegularityVertical Dissipation
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