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MR1249598 (94k:35251) 35Q30 (34G20 58F39 76D05) Liu, Vincent Xiaosong A sharp lower bound for the Hausdorff dimension of the global attractors of the $2$D Navier-Stokes equations. Comm. Math. Phys. 158 (1993), no. 2, 327--339.

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