Note on Solution Regularity of the Generalized Magnetohydrodynamic Equations with Partial Dissipation
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🧮 math.AP
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equationshyper-viscositymagnetohydrodynamicnoteregularitybriefdimensionaldissipation
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In this brief note we study the $n$-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.
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