UPPER SEMICONTINUITY OF GLOBAL ATTRACTORS FOR 2D NAVIER–STOKES EQUATIONS
2012 ◽
Vol 22
(03)
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pp. 1250046
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Keyword(s):
In this paper, the authors consider the two-dimensional Navier–Stokes equations defined on Ω = ℝ × (-L, L) and [Formula: see text], where [Formula: see text] is an expanding sequence of simply connected, bounded and smooth subdomains of Ω such that Ωm → Ω as m → ∞. Let [Formula: see text] and [Formula: see text] be the global attractors of the equations corresponding to Ω and Ωm, respectively, we establish that for any neighborhood [Formula: see text] of [Formula: see text], the global attractor [Formula: see text] enters [Formula: see text] if m is large enough.
Keyword(s):
2019 ◽
Vol 376
(1)
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pp. 353-384
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1998 ◽
Vol 371
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pp. 207-232
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2018 ◽
Vol 376-377
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pp. 180-194
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Keyword(s):
1995 ◽
Vol 7
(4)
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pp. 261-278
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Keyword(s):
1978 ◽
Vol 13
(3)
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pp. 307-334
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Keyword(s):
Finite-element solution of navier-stokes equations for transient two-dimensional incompressible flow
1975 ◽
Vol 17
(3)
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pp. 235-245
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