Pullback attractors for the model of motion of dilute aqueous polymer solutions

We study the qualitative dynamics of weak solutions in the non-autonomous model of motion of dilute aqueous polymer solutions using the theory of pullback attractors of trajectory spaces. We establish the existence of weak solutions for this model, define a family of trajectory spaces, introduce the notions of a trajectory pullback attractor and a minimal pullback attractor and prove the existence of these attractors.