TY - JOUR
T1 - The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole <em>R</em><sup>2</sup> Space
AU - Chunsban Zhao  & Kaitai Li
JO - Journal of Partial Differential Equations
VL - 2
SP - 163
EP - 175
PY - 2000
DA - 2000/05
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5504.html
KW - Non-autonomous Navier-Stokes equations
KW - linear dampness
KW - uniform attractor
KW - Hausdorff and Fractal dimension
AB -  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&#39;s Hausdorff and Fractal dimensions are obtained.