Abstract
By introducing a new a priori estimate for the \({b_{3}}\)-equation, we establish some regularity criteria for the weak solutions of the 3D incompressible MHD equations in terms of one velocity component and two magnetic field components. Our results improve some recent works.
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Jia, X., Zhou, Y. On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component. J. Math. Fluid Mech. 18, 187–206 (2016). https://doi.org/10.1007/s00021-015-0246-1
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DOI: https://doi.org/10.1007/s00021-015-0246-1