The authors deal with two-dimensional nonautonomous micropolar fluid flows, that is for velocity vector field
The fluid motion is specified by the following non-homogeneous boundary condition
Here is a bounded, simply connected, is the Newtonian kinetic viscosity, and is the viscosity coefficient. The main goal of the authors is to show the existence of a uniform global attractor of (1)–(2) in the following situation:
a) is a simply connected Lipschitz domain,
b) , on ,
c) is normal in the space where for with is the projection operator satisfying .