The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
Keyword(s):
We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solutionuof the Navier-Stokes equations lies in the regular class∇u∈Lp(0,∞;Bq,∞0(ℝ3)),(2α/p)+(3/q)=2α,2<q<∞,0<α<1, then every weak solutionv(x,t)of the perturbed system converges asymptotically tou(x,t)asvt-utL2→0,t→∞.
Keyword(s):
1992 ◽
Vol 436
(1896)
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pp. 1-11
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2013 ◽
Vol 37
(17)
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pp. 2716-2727
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1976 ◽
Vol 78
(2)
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pp. 355-383
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2015 ◽
Vol 55
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pp. 160-172
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2011 ◽
Vol 1
(3)
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pp. 215-234
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2019 ◽
Vol 234
(2)
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pp. 165-172