On the size of the Navier-Stokes singular set

DOI10.3934/dcds.2010.28.1165zbMath1194.35301OpenAlexW1987241381MaRDI QIDQ983481

Walter Craig, Maxim Arnold

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.1165

zbMATH Keywords

Navier-Stokes equationregularity theoryfluid dynamicsmicrolocal energy concentration

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Differential geometry of symmetric spaces (53C35) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

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Energy concentrations and type I blow-up for the 3D Euler equations ⋮ On Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes System ⋮ Parabolic H-measures ⋮ Numerical study on comparison of Navier-Stokes and Burgers equations ⋮ Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral

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