A regularity criterion for two‐and‐half‐dimensional magnetohydrodynamic equations with horizontal dissipation and horizontal magnetic diffusion |
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| Authors: | Dipendra Regmi |
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| Affiliation: | Department of Mathematics, Farmingdale State College, SUNY, Farmingdale, NY, USA |
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| Abstract: | We study the global regularity of classical solution to two‐and‐half‐dimensional magnetohydrodynamic equations with horizontal dissipation and horizontal magnetic diffusion. We prove that any possible finite time blow‐up can be controlled by the L∞‐norm of the vertical components. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | magnetohydrodynamic equations two‐dimensional MHD system regularity criterion horizontal dissipation magnetic diffusion |
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