89 research outputs found
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 ,
prove the existence of the strong solution with initial data in 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 which relies on the
vorticity of velocity only.Comment: 19page
A new regularity criterion of weak solutions to the 3D micropolar fluid flows in terms of the pressure
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
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
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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