Logarithmical Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations in terms of the Pressure

This paper is devoted to the regularity criterion of the three-dimensional micropolar fluid equations. Some new regularity criteria in terms of the partial derivative of the pressure in the Lebesgue spaces and the Besov spaces are obtained which improve the previous results on the micropolar fluid equations

Global attractors of two-dimensional micropolar fluid flows in some unbounded domains

This paper is concerned with the existence and regularity of the global attractors of micropolar fluid flows in two-dimensional unbounded domains, in which the Poincaré inequality holds true. Based on an asymptotic compactness argument, a L2 global attractor is shown to exist if the stationary external vector field is in H?1. Moreover, if the external vector field is in L2, then the L2 global attractor becomes an H1 global attractor