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Global Solvability and Vanishing Shear Viscosity Limit of Planar Magnetohydrodynamic Equations with Large Initial Data

By observing a new relation between the magnetic pressure and the hydrodynamic pressure, global existence of classical solution to the full perfect MHD equations with large data is established, in particular including the case when all the viscosity, heat conductivity and diffusivity coefficients are constant. This can be viewed as an analog of the classical work by Kazhikhov-Shelukhin for the Navier-Stokes equations to the MHD equations. In addition, the vanishing shear viscosity limit is proved.

preprint2013arXivOpen access
Xulong QinTong YangZheng-an YaoWenshu Zhou
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Xulong QinTong YangZheng-an YaoWenshu Zhou

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