Pullback attractors for three-dimensional navier-stokes-voigt equations with delays

Abstract

Our aim in this paper is to study the existence of pullback attractors for the 3D Navier-Stokes-Voigt equations with delays. The forcing term g(t, u(t - ?(t))) containing the delay is sub-linear and continuous with respect to u. Since the solution of the model is not unique, which is caused by the continuity assumption, we establish the existence of pullback attractors for our problem by using the theory of multi-valued dynamical system. © 2013 Li and Qin; licensee Springer.