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

Author(s)

Haiyan Li

Author affiliation

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

Abstract

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 .

Keywords

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