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What is Global Attractor in Dyadic Turbulence Model about?

This document summarizes key findings about a dyadic model of turbulence. The model consists of an infinite system of coupled ordinary differential equations that models properties of fluid equations, like skew symmetry and scaling of nonlinearity. Previous work showed solutions blow up in finite time in H5/6 norm. This work proves that: 1) Solutions stay in Hs norms for s < 5/6 for almost all time after blow up. 2) The model exhibits anomalous dissipation, with the energy dissipation rate being positive

Author

Carlo Metta

Language

EN