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.
Uniqueness for an inviscid stochastic dyadic model on a tree / Bianchi, L. A.. - In: ELECTRONIC COMMUNICATIONS IN PROBABILITY. - ISSN 1083-589X. - 18:(2013), pp. 1-12. [10.1214/ECP.v18-2382]
Uniqueness for an inviscid stochastic dyadic model on a tree
Bianchi L. A.
2013-01-01
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.File in questo prodotto:
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