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In this paper, a regularity criterion for the 3D magneto-micropolar fluid equations is investigated. A sufficient condition on the derivative of the velocity field in one direction is obtained. More precisely, we prove that if ux3 belongs to L?(0, T; L?(R3)) with 3 ? + 2 ? ≤ 1 and ? ≥ 3, then the solution (u, v, b) is regular. © 2013 Gao and Gao; licensee Springer.

Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations