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The 2<i>D</i>MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

The 2<i>D</i>MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion
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摘要 In this paper, we study the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u2, b2) has a global L2r -bound, where r satisfies and the boundary does not grow faster than??as r increases. In this paper, we study the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u2, b2) has a global L2r -bound, where r satisfies and the boundary does not grow faster than??as r increases.
作者 Xiaoting Yang
出处 《American Journal of Computational Mathematics》 2019年第2期81-96,共16页 美国计算数学期刊(英文)
关键词 MHD Equation Global REGULARITY VERTICAL DISSIPATION MHD Equation Global Regularity Vertical Dissipation

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