## Electronic Journal of Probability

### 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.

#### Article information

Source
Electron. J. Probab., Volume 10 (2005), paper no. 25, 865-900.

Dates
Accepted: 14 July 2005
First available in Project Euclid: 1 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1464816826

Digital Object Identifier
doi:10.1214/EJP.v10-267

Mathematical Reviews number (MathSciNet)
MR2164032

Zentralblatt MATH identifier
1109.76026

Rights

#### Citation

Flandoli, Franco; Gubinelli, Massimiliano. Statistics of a Vortex Filament Model. Electron. J. Probab. 10 (2005), paper no. 25, 865--900. doi:10.1214/EJP.v10-267. https://projecteuclid.org/euclid.ejp/1464816826

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