Approximating 3D Navier–Stokes equations driven by space-time white noise
2017 ◽
Vol 20
(04)
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pp. 1750020
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Keyword(s):
In this paper we study approximations to 3D Navier–Stokes (NS) equation driven by space-time white noise by paracontrolled distribution proposed in Ref. 13. A solution theory for this equation has been developed recently in Ref. 27 based on regularity structure theory and paracontrolled distribution. In order to make the approximating equation converge to 3D NS equation driven by space-time white noise, we should subtract some drift terms in approximating equations. These drift terms, which come from renormalizations in the solution theory, converge to the solution multiplied by some constant depending on approximations.
2002 ◽
Vol 196
(1)
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pp. 180-210
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Keyword(s):
2015 ◽
Vol 259
(9)
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pp. 4443-4508
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Keyword(s):
2021 ◽
Vol 493
(2)
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pp. 124560
Keyword(s):
2014 ◽
Vol 162
(3-4)
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pp. 739-793
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Keyword(s):
Keyword(s):
2001 ◽
Vol 50
(1)
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pp. 205-222
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2004 ◽
Vol 197
(2)
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pp. 418-459
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