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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.

76A05Non-Newtonian fluids
35Q35PDEs in connection with fluid mechanics
Full Text: DOI
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