A theorem of uniqueness for an inviscid dyadic model

DOI10.1016/j.crma.2010.03.007zbMath1353.34017OpenAlexW2053115540MaRDI QIDQ974017

Francesco Morandin, Franco Flandoli, David Barbato

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.007

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ordinary differential equations of infinite order (34A35) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (8)

Positive and non-positive solutions for an inviscid dyadic model: well-posedness and regularity ⋮ Structure function and fractal dissipation for an intermittent inviscid dyadic model ⋮ Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models ⋮ Uniqueness and blow-up for a stochastic viscous dyadic model ⋮ Anomalous dissipation in a stochastic inviscid dyadic model ⋮ A dyadic model on a tree ⋮ Stochastic Navier-Stokes equations and related models ⋮ Dyadic models for ideal MHD

Cites Work

• Unnamed Item
• On admissibility criteria for weak solutions of the Euler equations
• Energy dissipation and self-similar solutions for an unforced inviscid dyadic model
• Blow-up in finite time for the dyadic model of the Navier-Stokes equations
• Uniqueness for a stochastic inviscid dyadic model
• Blowup in a three‐dimensional vector model for the Euler equations
• Finite time blow-up for a dyadic model of the Euler equations
• On some dyadic models of the Euler equations

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