Article
The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space
Journal of Partial Differential Equations
(2000)
Abstract
In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.
Keywords
- Non-autonomous Navier-Stokes equations,
- Linear dampness,
- Uniform attractor,
- Hausdorff and Fractal dimension
Disciplines
Publication Date
2000
Citation Information
Chunshan Zhao and Kaitai Li. "The Long Time Behaviors of Non-Autonomous Navier-Stokes Equations With Linear Dampness on the Whole R² Space" Journal of Partial Differential Equations Vol. 13 Iss. 2 (2000) p. 163 - 175 ISSN: 2079-732X Available at: http://works.bepress.com/chunshan_zhao/50/