Self-similar solutions for dyadic models of the Euler equations
arXiv:1705.01456
Abstract
We show existence of self-similar solutions satisfying Kolmogorov's scaling for generalized dyadic models of the Euler equations, extending a result of Barbato, Flandoli, and Morandin. The proof is based on the analysis of certain dynamical systems on the plane.
10 pages, 1 figure