Pullback exponential attractors for a class of non-Newtonian micropolar fluids

In this paper, we consider the pullback asymptotic behaviors of weak solutions for the 2D non-autonomous Non-Newtonian micropolar fluids. Employing the methods of l-trajectories in [31], we first establish the existence of a finite dimensional pullback attractor and a pullback exponential attractor for the process {L(t, tau)}(t >=tau) associated with (1.2)-(1.4) in the phase space X-l. Then we construct a pullback exponential attractor for the process {U(t, tau)}(t >=tau) associated with (1.2)-(1.4) in the original phase space H x L-2(Omega). (C) 2021 Elsevier Inc. All rights reserved.