Approximating topological approach to the existence of attractors in fluid mechanics

Abstract

The aim of this paper is to demonstrate how the approximating topological method can be effectively combined with the theory of attractors of trajectory spaces in problems of fluid mechanics. First we give an exposition of the theory. Then we consider the model of motion of weak aqueous polymer solutions and prove that it has the minimal trajectory attractor and the global one. Finally we prove that the attractors of approximating problem converge to the attractors of the unperturbed one.