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

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Yuan, Jia
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In this paper we study the magneto-micropolar fluid equations in $\R^3$, prove the existence of the strong solution with initial data in $H^s(\R^3)$ for $s> {3/2}$, 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 $(u,\omega,b)$ which relies on the vorticity of velocity $\nabla\times u$ only.
Comment: 19pages
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Mathematics - Analysis of PDEs, 76W05, 35B65
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