Blow-up criterion for compressible MHD equations |
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| Authors: | Ming Lu Zheng-an Yao |
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| Affiliation: | a Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, Guangdong, PR China
b Department of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China |
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| Abstract: | In this paper, we study the 3D compressible magnetohydrodynamic equations. We obtain a blow up criterion for the local strong solutions just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion (see J.T. Beal, T. Kato and A. Majda (1984) [1]) for the ideal incompressible flow. In addition, initial vacuum is allowed in our case. |
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| Keywords: | Blow-up criterion Strong solutions 3D compressible magnetohydrodynamic equations |
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