New \(\varepsilon \)-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale

DOI10.1007/s00332-019-09555-2zbMath1427.35177arXiv1709.01382OpenAlexW3104902344MaRDI QIDQ2282800

Cheng He, Daoguo Zhou, Yan Qing Wang

Publication date: 19 December 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01382

zbMATH Keywords

regularityNavier-Stokes equationsbox dimensionsuitable weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (7)

Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces ⋮ Regularity criterion for the 3D Navier-Stokes equations in the boardline case ⋮ The role of the pressure in the regularity theory for the Navier-Stokes equations ⋮ \(\varepsilon\)-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations ⋮ \(\varepsilon\)-regularity criteria for the 3D Navier-Stokes equations in Lorentz spaces ⋮ Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature ⋮ Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations

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