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Statistics of a vortex filament model

Franco Flandoli·Massimiliano Gubinelli
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Abstract

A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure $γ$. Under appropriate assumptions on $γ$ we compute the scaling law of the structure function and get the multifractal scaling as a particular case.

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Franco Flandoli, Massimiliano Gubinelli. 2004-07-06. Statistics of a vortex filament model. https://arxiv.org/abs/math/0407076

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