Regularized vortex approximation for 2D Euler equations with transport noise
Keyword(s):
We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot–Savart kernel and the same common noise. The approximation happens by sending the number of particles [Formula: see text] to infinity and the regularization [Formula: see text] in the Biot–Savart kernel to [Formula: see text], as a suitable function of [Formula: see text].
2013 ◽
Vol 58
(4)
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pp. 1401-1403
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Keyword(s):
1997 ◽
Vol 11
(20)
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pp. 867-875
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1983 ◽
Vol 97
(2)
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pp. 435-452
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1992 ◽
Vol 61
(12)
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pp. 4356-4366
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1978 ◽
Vol 358
(1694)
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pp. 267-280
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