Abstract:In this paper, we consider the Cauchy problem to the 3D MHD equations. We show that the Serrin-type conditions imposed on one component of the velocity u3 and one component of magnetic fields b3 with1 and 3 < q0, q1 < +∞ imply that the suitable weak solution is regular at (0, 0). The proof is based on the new local energy estimates introduced by Chae-Wolf
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