The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole <em>R</em><sup>2</sup> Space
Year: 2000
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 163–175
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JPDE-5504
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 2 : pp. 163–175
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Non-autonomous Navier-Stokes equations