Abstract
AbstractIn this paper we study the magneto‐micropolar fluid equations in ℝ3, prove the existence of the strong solution with initial data inHs(ℝ3) for$s>{3\over2}$, and set up its blow‐up criterion. The tool we mainly use is Littlewood–Paley decomposition, by which we obtain a Beale–Kato–Majda‐type blow‐up criterion for smooth solution (u, ω,b) that relies on the vorticity of velocity ∇ × uonly. Copyright © 2007 John Wiley & Sons, Ltd.
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