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, where uniqueness results for weak solutions are unknown. For this simplified model we prove uniqueness of weak solutions when the initial conditions satisfy a suitable property.
A theorem of uniqueness for an inviscid dyadic model
Flandoli, Franco;
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, where uniqueness results for weak solutions are unknown. For this simplified model we prove uniqueness of weak solutions when the initial conditions satisfy a suitable property.File in questo prodotto:
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