A dyadic model on a tree

DOI10.1063/1.4792488zbMath1410.34133arXiv1207.2846OpenAlexW3100333258MaRDI QIDQ5396308

David Barbato, Francesco Morandin, Luigi Amedeo Bianchi, Franco Flandoli

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2846

zbMATH Keywords

tree-like structureinfinite system of nonlinear differential equationsmimics 3D Euler and Navier-Stokes equations

Mathematics Subject Classification ID

Dynamical systems approach to turbulence (76F20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33)

Related Items (10)

Structure function and fractal dissipation for an intermittent inviscid dyadic model ⋮ Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models ⋮ A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis ⋮ Regularized vortex approximation for 2D Euler equations with transport noise ⋮ Renormalized Onsager functions and merging of vortex clusters ⋮ Linear stochastic dyadic model ⋮ Dynamical fractional and multifractal fields ⋮ Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise ⋮ Stochastic Navier-Stokes equations and related models ⋮ How close are shell models to the 3D Navier–Stokes equations?

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• Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture
• Finite time blow-up for a dyadic model of the Euler equations

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