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Uniqueness for an inviscid stochastic dyadic model on a tree

  
@article{ECP2382,
	author = {Luigi Bianchi},
	title = {Uniqueness for an inviscid stochastic dyadic model on a tree},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {SPDE; shell models; dyadic model; tree dyadic model; q-matrix; fluid dynamics; Girsanov’s transform; multiplicative noise},
	abstract = {In this paper we prove that the lack of uniqueness for solutions of the tree dyadic model of turbulence is overcome with the introduction of a suitable noise. The uniqueness is a weak probabilistic uniqueness for all $l^2$-initial conditions and is proven using a technique relying on the properties of the   $q$-matrix associated to a continuous time Markov chain.},
	pages = {no. 8, 1-12},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2382},    
        url = {http://ecp.ejpecp.org/article/view/2382}}