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.

Uniqueness for a Stochastic Inviscid Dyadic Model / D. Barbato; F. Flandoli; F. Morandin. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 138(2010), pp. 2607-2617. [10.1090/S0002-9939-10-10318-9]

Uniqueness for a Stochastic Inviscid Dyadic Model

MORANDIN, Francesco
2010

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.
Uniqueness for a Stochastic Inviscid Dyadic Model / D. Barbato; F. Flandoli; F. Morandin. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 138(2010), pp. 2607-2617. [10.1090/S0002-9939-10-10318-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2300449
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