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Statistics of a Vortex Filament Model

Abstract:
A random incompressible velocity field in three dimensions composed by Poisson distributed Brownian vortex filaments is constructed. The filaments have a random thickness, length and intensity, governed by a measure $\gamma$. Under appropriate assumptions on $\gamma$ we compute the scaling law of the structure function of the field and show that, in particular, it allows for either K41-like scaling or multifractal scaling.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1214/ejp.v10-267

Authors


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Role:
Author
ORCID:
0000-0003-2837-3784
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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0002-4014-2949


Publisher:
Institute of Mathematical Statistics
Journal:
Electronic Journal of Probability More from this journal
Volume:
10
Issue:
none
Pages:
865-900
Publication date:
2005-01-01
DOI:
EISSN:
1083-6489
ISSN:
1083-6489


Language:
English
Keywords:
Pubs id:
1307858
Local pid:
pubs:1307858
Source identifiers:
W1991563480
Deposit date:
2025-08-20
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