| Uniform Attractors for a Non-Autonomous Brinkman-Forchheimer Equation |
| Received:April 16, 2010 Revised:October 11, 2010 |
| Key Words:
Galerkin approximation uniform attractor non-autonomous Brinkman-Forchheimer equation.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grants No.10871156). |
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| Abstract: |
| This paper is concerned with the three-dimensional non-autonomous Brinkman-Forchheimer equation. By Galerkin approximation method, we give the existence and uniqueness of weak solutions for non-autonomous Brinkman-Forchheimer equation. And we investigate the asymptotic behavior of the weak solution, the existence and structures of the $(H,H)$-uniform attractor and $(H,V)$-uniform attractor. Then we prove that an $L^2$-uniform attractor is actually an $H^1$-uniform attractor. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.01.008 |
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