Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient

DOI10.1007/s00021-019-0441-6zbMath1421.35244OpenAlexW2951911059MaRDI QIDQ2318075

Yafei Li, Zdeněk Skalák, Zhengguang Guo

Publication date: 13 August 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0441-6

zbMATH Keywords

Navier-Stokes equationsregularity criteriaone entry of velocity gradient

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)

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Global weighted regularity for the 3D axisymmetric MHD equations ⋮ A note on blow-up criterion of the 3d magnetic Bénard equations ⋮ Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl ⋮ Remarks on regularity criteria for the 3d Navier-Stokes equations ⋮ Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ Blowup criterion of strong solutions to the three-dimensional double-diffusive convection system ⋮ On regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient ⋮ On conditional regularity for the MHD equations via partial components ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation ⋮ From Jean Leray to the millennium problem: the Navier-Stokes equations

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