Upper Semicontinuity of Pullback Attractors for a Nonautonomous Incompressible Non-Newtonian Fluid


Haiyan Li

Author affiliation

College of Information Science and Technology, Donghua University, Shanghai 201620, China


In this paper, we study the pullback asymptotic behavior of solutions for a nonautonomous incompressible non-Newtonian fluid in two-dimensional bounded domains. We prove that our system possesses pullback attractors in the space H and then obtain upper semicontinuity (in) of pullback attractors of the nonautonomous incompressible non-Newtonian fluid with the nonautonomous perturbation under some proper assumptions, i.e., the pullback attractors of the incompressible Non-Newtonian fluid withand the global attractor of (1) with for any .


Incompressible non-Newtonian fluid; pullback attractors; pullback contracting; upper semicontinuity