For the deterministic dyadic model of turbulence, there are examples of initial conditions in l2 which have more than one solution. The aim of this paper is to prove that uniqueness, for all l2-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.
UNIQUENESS FOR A STOCHASTIC INVISCID DYADIC MODEL
BARBATO, DAVID;
2010
Abstract
For the deterministic dyadic model of turbulence, there are examples of initial conditions in l2 which have more than one solution. The aim of this paper is to prove that uniqueness, for all l2-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.File in questo prodotto:
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