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.