Statistics of a vortex filament model

Franco Flandoli and Massimiliano Gubinelli

First issued 6 July 2004 · PDF

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 $\gamma$. Under appropriate assumptions on $\gamma$ we compute the scaling law of the structure function and get the multifractal scaling as a particular case.

Versions

1. Version 1 (arXiv v1) current
   6 July 2004
   arXiv comments: 36 pages, no figures
   PDF · LaTeX source · files and digests · arXiv:math/0407076

Cite

Franco Flandoli and Massimiliano Gubinelli. Statistics of a vortex filament model. Papers of Massimiliano Gubinelli, 2004, version 1. https://mgubi.org/papers/paper/vortex-filament-statistics/

Licence: arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors

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