BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations |
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Authors: | Yun Wang |
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Affiliation: | Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of China |
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Abstract: | In this paper, we study the regularity criterion for weak solutions to the incompressible magnetohydrodynamic equations. We derive the regularity of weak solutions in the marginal class. Moreover, our result demonstrates that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. |
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Keywords: | Magnetohydrodynamic equations Regularity criteria |
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