The diadic model of turbulence is an infinite system of ordinary differential equations which represents a simplified form of the Fourier formulation of Euler equations. For certain initial conditions, it has more than one solution. We prove that uniqueness is restored if a suitable random perturbation is added to the system.

Uniqueness for a Stochastic Inviscid Dyadic Model

FLANDOLI, FRANCO;
2010-01-01

Abstract

The diadic model of turbulence is an infinite system of ordinary differential equations which represents a simplified form of the Fourier formulation of Euler equations. For certain initial conditions, it has more than one solution. We prove that uniqueness is restored if a suitable random perturbation is added to the system.
2010
D., Barbato; Flandoli, Franco; F., Morandin
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/139866
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