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.File in questo prodotto:
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