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Abstract 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… Click to show full abstract
Abstract 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 , τ ) } t ≥ τ associated with (1.2) - (1.4) in the phase space X l . Then we construct a pullback exponential attractor for the process { U ( t , τ ) } t ≥ τ associated with (1.2) - (1.4) in the original phase space H × L 2 ( Ω ) .
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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