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.
Citation
Franco Flandoli. Massimiliano Gubinelli. "Statistics of a Vortex Filament Model." Electron. J. Probab. 10 865 - 900, 2005. https://doi.org/10.1214/EJP.v10-267
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