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. In this paper we prove a property of anomaluos dissipation for this system, which is fomally conservative. Moreover, we prove the existence of self similar solutions.
Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
FLANDOLI, FRANCO;
2011-01-01
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. In this paper we prove a property of anomaluos dissipation for this system, which is fomally conservative. Moreover, we prove the existence of self similar solutions.File in questo prodotto:
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