Regularity criteria for the three-dimensional MHD equations |
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Authors: | Lan Luo Yong-ye Zhao Qing Yang |
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Affiliation: | (1) School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China |
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Abstract: | In this paper, we consider regularity criteria for solutions to the 3D MHD equations with incompressible conditions. By using some classical inequalities, we obtain the regularity of strong solutions to the three-dimensional MHD equations under certain sufficient conditions in terms of one component of the velocity field and the magnetic field respectively. |
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Keywords: | MHD equations strong solution regularity |
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