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

Dong, Bo-Qing and Chen, Zhi-Min (2006) Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Applied Mathematics and Computation, 182 (1), 610-620. (doi:10.1016/j.amc.2006.04.024).

Abstract

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.

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