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arXiv · 0910.4974

Uniqueness for a Stochastic Inviscid Dyadic Model

David Barbato·Franco Flandoli·Francesco Morandin
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Abstract

For the deterministic dyadic model of turbulence, there are examples of initial conditions in $l^2$ which have more than one solution. The aim of this paper is to prove that uniqueness, for all $l^2$-initial conditions, is restored when a suitable multiplicative noise is introduced. The noise is formally energy preserving. Uniqueness is understood in the weak probabilistic sense.

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David Barbato, Franco Flandoli, Francesco Morandin. 2009-10-26. Uniqueness for a Stochastic Inviscid Dyadic Model. https://arxiv.org/abs/0910.4974

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