A regularity criterion for the density‐dependent magnetohydrodynamic equations |
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| Authors: | Yong Zhou Jishan Fan |
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| Institution: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, People's Republic of China;2. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China |
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| Abstract: | In this paper, regularity criterion for the 3‐D density‐dependent magnetohydrodynamic equation is considered. It is proved that the solution keeps smoothness only under an integrable condition on the velocity field in multiplier spaces. Hence, it turns out that the velocity field plays a dominant role in the regularity criteria of the weak solutions to this nonlinear coupling problem even with density. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | magnetohydrodynamics regularity criterion multiplier spaces Morrey spaces |
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