In this paper, we show that the strong solution of thethree-dimensional Navier-Stokes equations with dampingα|u|β-1u\ (α>0, 7/2≤ β≤ 5) hasglobal attractors in V and H²(Ω) when initial data u₀, where Ω⊂ R³ is bounded.
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Song et al. (2011) studied this question.
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