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, F.;
2010

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.
uniqueness; stochastic dyadic model
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/69164
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