Nonuniqueness of Leray–Hopf solutions for a dyadic model

DOI10.1090/spmj/1651zbMath1464.35178arXiv2004.01074OpenAlexW3135736084MaRDI QIDQ5858898

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Publication date: 15 April 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01074

zbMATH Keywords

Navier-Stokes equationssystems of ordinary differential equationsnonuniqueness of solutionsdyadic model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Methods of ordinary differential equations applied to PDEs (35A24) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Dyadic models for fluid equations: a survey ⋮ Kolmogorov’s dissipation number and determining wavenumber for dyadic models ⋮ Uniqueness and non-uniqueness results for forced dyadic MHD models

Cites Work

• Simulation of cascade processes in turbulent flows
• A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
• Finite time blowup for an averaged three-dimensional Navier-Stokes equation
• Smooth solutions for the dyadic model
• Blow-up in finite time for the dyadic model of the Navier-Stokes equations
• Uniqueness of the Leray-Hopf solution for a dyadic model
• On some dyadic models of the Euler equations
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