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math.AP2013
Note on Solution Regularity of the Generalized Magnetohydrodynamic Equations with Partial Dissipation
Chuong V. Tran, Xinwei Yu, Zhichun Zhai
In this brief note we study the -dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-visc…
math.AP2013
On Global Regularity of 2D Generalized Magnetohydrodynamic Equations
Chuong V. Tran, Xinwei Yu, Zhichun Zhai
In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are and $- κ(-\trian…