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, F.;
2011

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.
anomalous dissipation; dyadic model; self similar solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/69100
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