Pullback attractors for a model of polymer solutions motion with rheological relation satisfying the objectivity principle

On the base of the trajectory pullback attractors theory, this paper studies the dynamics of weak solutions for a nonautonomous model of the polymer solutions motion (with the rheological relation satisfying the objectivity principle). For this model, we establish the existence of weak solutions, determine a family of trajectory spaces, introduce the concepts of trajectory and minimal pullback attractors, and prove the existence of these attractors.