English

Self-similar solutions for dyadic models of the Euler equations

Dynamical Systems 2017-05-04 v1 Classical Analysis and ODEs

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.

Cite

@article{arxiv.1705.01456,
  title  = {Self-similar solutions for dyadic models of the Euler equations},
  author = {In-Jee Jeong},
  journal= {arXiv preprint arXiv:1705.01456},
  year   = {2017}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-22T19:35:44.067Z