Uniqueness for an inviscid stochastic dyadic model on a tree
نویسنده
چکیده
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-initial conditions and is proven using a technique relying on the properties of the q-matrix associated to a continuous time Markov chain.
منابع مشابه
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A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dis-sipation of positive solutions is proved and decay of energy like t −2 is established. Self-similar decaying positive solutions are introduced and proved to exist and classified. Coalescence and blow-up are obtained as a consequence, in the class of arbitrar...
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