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MR2265627 (2007m:37193) 37L30 (35B41 35Q30 37N10 76D05)
Rosa, Ricardo M. S. Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations. J. Differential Equations 229 (2006), no. 1, 257–269.
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