Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
2013 ◽
Vol 143
(2)
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pp. 223-251
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Keyword(s):
We study the first initial–boundary-value problem for the three-dimensional non-autonomous Navier–Stokes–Voigt equations in an arbitrary (bounded or unbounded) domain satisfying the Poincaré inequality. The existence of a weak solution to the problem is proved by using the Faedo–Galerkin method. We then show the existence of a unique minimal finite-dimensional pull-back $\smash{\mathcal D_\sigma}$-attractor for the process associated with the problem, with respect to a large class of non-autonomous forcing terms. We also discuss relationships between the pull-back attractor, the uniform attractor and the global attractor.
2009 ◽
Vol 06
(03)
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pp. 577-614
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2018 ◽
Vol 65
(1)
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pp. 29-56
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2009 ◽
Vol 12
(3)
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pp. 412-434
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2013 ◽
Vol 15
(05)
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pp. 1250067
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