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 R3, prove the existence of the strong solution with initial data in Hs (R3) for 8%7B3%5Cover2%7D%24" align=absMiddle border=0, and set up its blow-up criterion. The tool we mainly use is LittlewoodPaley decomposition, by which we obtain a Beale-Kato-Majda-type blow-up criterion for smooth solution (u, (omega), b) that relies on the vorticity of velocity (nabla)× u only.