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Statistics of a Vortex Filament Model

   
@article{EJP267,
	author = {Franco Flandoli and Massimiliano Gubinelli},
	title = {Statistics of a Vortex Filament Model},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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.},
	pages = {no. 25, 865-900},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-267},    
        url = {http://ejp.ejpecp.org/article/view/267}}