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| We consider the three-dimensional Navier-Stokes-Voigt (NSV) equations and we analyze, from the asymptotic behavior viewpoint, its Navier-Stokes (NS) limit as the relaxation parameter vanishes. We show that the NSV-attractors converge to the weak NS-attractor in the Hausdorff semidistance induced by the weak $L^2$-metric on the absorbing set of the Navier-Stokes equations. Some results related to the strong topology of $L^2$ are also proved. |
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