On H1-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain

Using a method based on the concept of the Kuratowski measure of noncompactness of a bounded set as well as some new estimates of solutions we prove the existence of a unique minimal pullback attractor for the evolutionary process associated with nonautonomous two-dimensional micropolar fluid equations in a bounded domain, where the forces and moments satisfy only a certain integrability condition. In earlier similar research forces and moments were assumed to be uniformly bounded in time.