The Asymptotic Attractor of the Damped Navier-Stokes System |
Received:April 12, 2019 Revised:October 09, 2019 |
Key Words:
asymptotic attractor asymptotic solution sequence damped navier-stokes equation
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11701399) |
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Abstract: |
In this paper, the asymptotic attractor of the $2$-$D$ damped and driven Navier-Stokes equation is studied by constructing a finite-dimensional solution sequence, and it is proved that this solution sequence approximates the global attractor infinitely after a long time. The dimension estimate of the asymptotic attractor is obtained in the end. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2020.03.008 |
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