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 Electronic Journal of Probability > Vol. 10 (2005) > Paper 25 open journal systems 


Statistics of a Vortex Filament Model

Franco Flandoli, Università di Pisa, Italy
Massimiliano Gubinelli, Università di Pisa, Italy


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.


Full text: PDF

Pages: 865-900

Published on: July 14, 2005
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Electronic Journal of Probability. ISSN: 1083-6489