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Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. (English) Zbl 1103.76008
Summary: This paper is concerned with the existence and regularity of global attractors of micropolar fluid flows in two-dimensional unbounded domains, in which the Poincaré inequality holds. Based on an asymptotic compactness argument, a L 2 global attractor is shown to exist if the stationary external vector field is in H -1 . Moreover, if the external vector field is in L 2 , then the L 2 global attractor becomes an H 1 global attractor.
MSC:
76A05Non-Newtonian fluids
35Q35PDEs in connection with fluid mechanics