%0 Journal Article
%T Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
%A David Cheban
%A Jinqiao Duan
%J Mathematics
%D 2004
%I arXiv
%R 10.1023/B:JODY.0000041279.25095.8a
%X 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.
%U http://arxiv.org/abs/math/0409215v1