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      Uniqueness for an inviscid stochastic dyadic model on a tree

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          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.

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          Most cited references 7

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          Continuous-Time Markov Chains

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            Some Rigorous Results on a Stochastic GOY Model

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              Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise

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                Author and article information

                Journal
                30 January 2013
                10.1214/ECP.v18-2382
                1301.7247

                http://creativecommons.org/licenses/by/3.0/

                Custom metadata
                60H15 (Primary) 35Q31, 35R60, 60J28, 76B03 (Secondary)
                Electron. Commun. Probab. 18 (2013), no. 8, 1-12
                math.PR math.AP

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