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The Asymptotic Attractor of the Damped Navier-Stokes System

更新时间:2023-05-28

【摘要】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.

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