Uniqueness for an inviscid stochastic dyadic model on a tree

[摘要] 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 l2-initial conditions and is proven using a technique relying on the properties of the q-matrix associated to a continuous time Markov chain.

[学科分类] 统计和概率