Pullback attractors of nonautonomous dynamical systems

Yejuan Wang; Chengkui Zhong; Shengfan Zhou

doi:10.3934/dcds.2006.16.587

Article Contents

2006, Volume 16, Issue 3: 587-614. Doi: 10.3934/dcds.2006.16.587

This issue Previous Article Time-periodic solutions of the Boltzmann equation Next Article Minimum 'energy' approximations of invariant measures for nonsingular transformations

Pullback attractors of nonautonomous dynamical systems

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000
2.
Department of Mathematics, Shanghai University, Shanghai, 200436

Received: December 31, 2005

Revised: July 31, 2006

Published: August 2006

Abstract Related Papers Cited by

Abstract

We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems. We also show that the parametrically inflated pullback attractors and uniform attractors are robust with respect to the perturbations of both cocycle mappings and driving systems. As an example, we consider the nonautonomous 2D Navier-Stokes system with rapidly oscillating external force.

Keywords:

Mathematics Subject Classification: 34B40, 35L70.

Citation:

Article Metrics

HTML views() PDF downloads(185) Cited by(0)

Pullback attractors of nonautonomous dynamical systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Pullback attractors of nonautonomous dynamical systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content