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Open Accesshttps://doi.org/10.3934/dcds.2016.36.2085
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Cite Publication Date: Sep 1, 2015 | |
 Citations: 15 |  License type: cc-by |
We consider finite energy solutions for the damped and driven two-dimensional Navier--Stokes equations in the plane and show that the corresponding dynamical system possesses a global attractor. We obtain upper bounds for its fractal dimension when the forcing term belongs to thewhole scale of homogeneous Sobolev spaces from $-1$ to $1$.
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