Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
Dynamical Systems
2009-11-10 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.math/0409215,
title = {Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations},
author = {David Cheban and Jinqiao Duan},
journal= {arXiv preprint arXiv:math/0409215},
year = {2009}
}
Comments
J. Dynamics and Diff. Eqns., in press, 2004