  The article is devoted to the study of non-autonomous Navier-Stokes
equations. First, the authors have proved that such systems admit compact
global attractors. This problem is formulated and solved in the terms of
general non-autonomous dynamical systems. Second, they have obtained conditions
of convergence of non-autonomous Navier-Stokes equations. Third, a criterion
for the existence of almost periodic (quasi periodic,almost automorphic,
recurrent, pseudo recurrent) solutions of non-autonomous Navier-Stokes
equations is given. Finally, the authors have derived a global averaging
principle for non-autonomous Navier-Stokes equations.
