Pullback Attractor for the 2D Micropolar Fluid Flows with Delay on Unbounded Domains

In this paper, we investigate the pullback asymptotic behavior of micropolar fluid flows with delay on 2D unbounded domains. Firstly, the existence of pullback attractor for the universe given by a tempered condition is established. Then we obtain the consistency of the pullback attractor with that for the universe of fixed bounded sets. Furthermore, the tempered behavior of the pullback attractor is given. Here we develop the energy method with the technique of decomposition of spatial domain to overcome the lack of compactness due to unbounded domains.