Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

In this paper we study the magneto-micropolar fluid equations in ?³, prove the existence of the strong solution with initial data in H^s(?³) for , 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 ? × u only. Copyright © 2007 John Wiley & Sons, Ltd.