Global well-posedness for 3D Navier–Stokes equations with ill-prepared
initial data
2013 ◽
Vol 13
(2)
◽
pp. 395-411
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Keyword(s):
Blow Up
◽
AbstractWe study the global well-posedness of 3D Navier–Stokes equations for a class of large initial data. This type of data slowly varies in the vertical direction (expressed as a function of $\varepsilon {x}_{3} $), and it is ill-prepared in the sense that its norm in ${C}^{- 1} $ will blow up at the rate ${\varepsilon }^{- \alpha } $ for $\frac{1}{2} \lt \alpha \lt 1$ as $\varepsilon $ tends to zero.
2014 ◽
Vol 27
(2)
◽
pp. 143-157
◽
Keyword(s):
Global Well-Posedness of Compressible Navier–Stokes Equations for Some Classes of Large Initial Data
2014 ◽
Vol 213
(1)
◽
pp. 171-214
◽
Keyword(s):
2019 ◽
Vol 43
(3)
◽
pp. 2549-2564
◽
Keyword(s):
2017 ◽
Vol 40
(18)
◽
pp. 7425-7437
Keyword(s):
Keyword(s):
Keyword(s):
2015 ◽
Vol 20
(2)
◽
pp. 205-231
◽
1992 ◽
Vol 95
(1)
◽
pp. 33-74
◽