### Electronic Research Archive

2020, Issue 3: 1343-1356. doi: 10.3934/era.2020071
Special Issues

# The boundedness and upper semicontinuity of the pullback attractors for a 2D micropolar fluid flows with delay

• Received: 01 February 2020 Revised: 01 May 2020
• Primary: 35B40, 35Q35; Secondary: 35B41

• In this paper, two properties of the pullback attractor for a 2D non-autonomous micropolar fluid flows with delay on unbounded domains are investigated. First, we establish the $H^1$-boundedness of the pullback attractor. Further, with an additional regularity limit on the force and moment with respect to time t, we remark the $H^2$-boundedness of the pullback attractor. Then, we verify the upper semicontinuity of the pullback attractor with respect to the domains.

Citation: Wenlong Sun. The boundedness and upper semicontinuity of the pullback attractors for a 2D micropolar fluid flows with delay[J]. Electronic Research Archive, 2020, 28(3): 1343-1356. doi: 10.3934/era.2020071

### Related Papers:

• In this paper, two properties of the pullback attractor for a 2D non-autonomous micropolar fluid flows with delay on unbounded domains are investigated. First, we establish the $H^1$-boundedness of the pullback attractor. Further, with an additional regularity limit on the force and moment with respect to time t, we remark the $H^2$-boundedness of the pullback attractor. Then, we verify the upper semicontinuity of the pullback attractor with respect to the domains.

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