@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}}