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 Article, 2007 Publisher: Ñòàòüÿ â æóðíàëå Authors: Ilyin A. A., Titi E.S. The damped-driven 2D Navier—Stokes system on large elongated domains Abstract: The Navier--Stokes system with damping, which is motivated by Stommel--Charney model of ocean circulation, is considered in a large elongated periodic rectangular domain with area of the order $\alpha^{-1}$, as $\alpha\to0$. We obtain estimates for the dimension of the global attractor that are sharp as both $\alpha\to0$ and $\nu\to0$, where $\nu$ is the viscosity coefficient. Publication language: english Research direction: Mathematical modelling in actual problems of science and technics English source text: