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ISSN 1088-6826(e) ISSN 0002-9939(p)

Uniqueness for a stochastic inviscid dyadic model

Author(s): D. Barbato; F. Flandoli; F. Morandin
Journal: Proc. Amer. Math. Soc. 138 (2010), 2607-2617.
MSC (2010): Primary 60H15; Secondary 35Q31, 35R60, 76B03, 76M35
Posted: February 24, 2010
MathSciNet review: 2607891
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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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