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Vorticity and regularity to the 3D magneto-micropolar fluid equations. (Chinese. English summary) Zbl 1424.35088

Summary: We concern the relations between the voriticity of the velocity field and the global well-posedness of the 3D incompressible magneto-micropolar fluid equations. We improve and extend the results of Navier-Stokes equations to a quite complete incompressible fluid systems. Moreover, our results have inclusion relation to micropolar fluid and MHD equations.

MSC:

35B65 Smoothness and regularity of solutions to PDEs
35Q35 PDEs in connection with fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
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