Uniqueness for an inviscid stochastic dyadic model on a tree
Probability
2015-10-15 v1 Analysis of PDEs
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 -initial conditions and is proven using a technique relying on the properties of the -matrix associated to a continuous time Markov chain.
Keywords
Cite
@article{arxiv.1301.7247,
title = {Uniqueness for an inviscid stochastic dyadic model on a tree},
author = {Luigi Amedeo Bianchi},
journal= {arXiv preprint arXiv:1301.7247},
year = {2015}
}