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Self-similar vortex filament motion under the non-local Biot–Savart model

Abstract:

One type of thin vortex filament structure that has attracted interest in recent years is that which obeys self-similar scaling. Among various applications, these filaments have been used to model the motion of quantized vortex filaments in superfluid Helium after reconnection events. While similarity solutions have been described analytically and numerically using the local induction approximation (LIA), they have not been studied (or even shown to exist) under the non-local Biot-Savart mode...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1017/jfm.2016.502

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
802
Pages:
760-774
Publication date:
2016-08-05
Acceptance date:
2016-07-26
DOI:
ISSN:
0022-1120 and 1469-7645
Pubs id:
pubs:640234
URN:
uri:b050ce45-3507-476e-a571-61dfb0e10302
UUID:
uuid:b050ce45-3507-476e-a571-61dfb0e10302
Local pid:
pubs:640234
Keywords:

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