On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations

We present new interior regularity criteria for suitable weak solutions of the magneto-hydrodynamics (MHD) equations in terms of the velocity field. The result means that the velocity field plays a more important role than the magnetic field in the local regularity theory of the MHD equations. This also gives a positive answer to the problem proposed by Kang and Lee in [J. Differential Equations, 247 (2009), pp. 2310--2330].

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