Direction of vorticity and a new regularity criterion for the Navier-Stokes equations

DOI10.1017/S1446181100008270zbMath1072.35565MaRDI QIDQ4673134

Yong Zhou

Publication date: 29 April 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

regularityweak solutionNavier-Stokes equationsLeray-Hopf solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Direction of vorticity and a refined regularity criterion for the Navier-Stokes equations with fractional Laplacian ⋮ Remarks on regularity criteria for the 3d Navier-Stokes equations ⋮ A new regularity criterion in terms of the direction of the velocity for the MHD equations ⋮ Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations ⋮ An extension and simpler proof of Berselli-Córdoba's geometric regularity condition for the Navier-Stokes system ⋮ On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system ⋮ On the regularity criterion of strong solutions to the 3D Boussinesq equations ⋮ Some Serrin-type regularity criteria for weak solutions to the Navier-Stokes equations

Cites Work

• Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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