English

Well Posedness for Positive Dyadic Model

Analysis of PDEs 2009-10-28 v1

Abstract

We consider the solutions of the Cauchy problem for a dyadic model of Euler equations. We prove global existence and uniqueness of Leray-Hopf solutions in a rather large class K that implies in particular global existence and uniqueness in l^2 for all initial positive conditions in l^2.

Keywords

Cite

@article{arxiv.0910.4995,
  title  = {Well Posedness for Positive Dyadic Model},
  author = {David Barbato and Franco Flandoli and Francesco Morandin},
  journal= {arXiv preprint arXiv:0910.4995},
  year   = {2009}
}

Comments

6 pages, no figures. Submitted to Les Comptes Rendus de l'Academie des sciences

R2 v1 2026-06-21T14:03:34.266Z