Pullback attractors for a class of non-Newtonian micropolar fluids

Abstract

In this article we study the long time behavior of the two-dimensional flow for non-Newtonian micropolar fluids in bounded smooth domains, in the sense of pullback attractors. We prove the existence and upper semicontinuity of the pullback attractors with respect to the viscosity coefficient of the model.

Keywords

• Non-Newtonian micropolar fluid
• non-autonomous dynamical system
• pullback attractor
• upper semincontinuity