Well Posedness for Positive Dyadic Model

2009/10/26 by David Barbato, Barbato, David, Franco Flandoli +3
Engineering · Mathematics · #35Q31 #76B03 #Analysis of PDEs (math.AP) #FOS: Mathematics #Hydraulic Fracturing and Reservoir Analysis #Navier-Stokes equation solutions #Reservoir Engineering and Simulation Methods

paper · pdf · doi:10.48550/arxiv.0910.4995

openalex publication_date 2009/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 l² for all initial positive conditions in l².

Citations

• Sur le mouvement d'un liquide visqueux emplissant l'espace

Related

• Uniqueness of the Leray-Hopf solution for a dyadic model
• Positive and non-positive solutions for an inviscid dyadic model.\n Well-posedness and regularity
• Non-uniqueness of Leray-Hopf solutions for a dyadic mode
• Stationary solutions for dyadic mixed model of the Euler equation. A complete spectrum
• Self-similar solutions for dyadic models of the Euler equations