Global Well-Posedness of the 3D Micropolar Fluid Equations with Damping
In this paper, the global well-posedness of the incompressible micropolar fluid equations with damping terms in three dimensions is studied. When subjected to a certain conditions, micropolar fluid equations can be reduced to the classi-cal Navier-Stokes equations. Therefore, this paper considers extending the relevant results of the Navier-Stokes equations to the equations of micropolar fluid equations. However, the structure of micropolar fluid equations is more complicated because the micropolar fluid equations consider the micro-rotational velocity field on the basis of the velocity field. By means of the detailed analysis of the structure of the model equations and combining with energy methods. We prove that there is a unique global solution of the equations for 1+3/β+1＜α＜min{5/2,2+3/β+1},β＞1.
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