Positive and non-positive solutions for an inviscid dyadic model: well-posedness and regularity

DOI10.1007/s00030-012-0200-3zbMath1268.76007arXiv1201.2693OpenAlexW2042463454MaRDI QIDQ354393

David Barbato, Francesco Morandin

Publication date: 19 July 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2693

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (8)

Regularizing effect of the forward energy cascade in the inviscid dyadic model ⋮ Structure function and fractal dissipation for an intermittent inviscid dyadic model ⋮ Dyadic models for fluid equations: a survey ⋮ Uniqueness of the Leray-Hopf solution for a dyadic model ⋮ Stochastic Navier-Stokes equations and related models ⋮ Blow-up of a dyadic model with intermittency dependence for the Hall MHD ⋮ A blow-up result for dyadic models of the Euler equations ⋮ Dyadic models for ideal MHD

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• Finite time blow-up for a dyadic model of the Euler equations
• On some dyadic models of the Euler equations

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