89 research outputs found

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

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    In this paper we study the magneto-micropolar fluid equations in R3\R^3, prove the existence of the strong solution with initial data in Hs(R3)H^s(\R^3) for s>3/2s> {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,ω,b)(u,\omega,b) which relies on the vorticity of velocity ∇×u\nabla\times u only.Comment: 19page

    A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure

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    In this study, we establish a new regularity criterion of weak solutions to the three-dimensional micropolar fluid flows by imposing a critical growth condition on the pressure field. © 2020, Unione Matematica Italiana

    Optimal control problem for 3D micropolar fluid equations

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    In this paper we study an optimal control problem related to strong solutions of 3D micropolar fluid equations. We deduce the existence of a global optimal solution with distributed control and, using a Lagrange multipliers theorem, we derive first-order optimality conditions for local optimal solutions

    Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations

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    Blow-up criteria of smooth solutions for the 3D micropolar fluid equations are investigated. Logarithmically improved blow-up criteria are established in the Morrey-Campanto space
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