| Pullback ${\cal D}$-Attractors for A Non-Autonomous Brinkman-Forchheimer System |
| Received:May 04, 2011 Revised:December 20, 2011 |
| Key Words:
pullback attractor asymptotic compactness Brinkman-Forchheimer equation.
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| Fund Project:Supported by the Doctoral Scientific Research Foundation of Xi'an University of Science and Technology (Grant No.2012QDJ040) and the Fundamental Research Foundation of Xi'an University of Science and Technology (Grant No.201238). |
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| Abstract: |
| The asymptotic behavior of solutions of the three-dimensional nonautonomous Brinkman-Forchheimer equation is investigated. And the existence of pullback global attractors in $\mathbb{L}^2(\Omega)$ and $\mathbb{H}_0^1(\Omega)$ is proved, respectively. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.010 |
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