On regularity criteria in conjunction with the pressure of the Navier-Stokes equations

DOI10.1155/IMRN/2006/80762zbMath1121.35099OpenAlexW4254324320MaRDI QIDQ3413417

Kyungkeun Kang, Jihoon Lee

Publication date: 4 January 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/imrn/2006/80762

zbMATH Keywords

regularityweak solutionslocal regularitybounded smooth domain

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) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (12)

Regularity criteria of weak solutions in terms of the pressure in Lorentz spaces to the Navier-Stokes equations ⋮ Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm ⋮ Regularity issue of the Navier-Stokes equations involving the combination of pressure and velocity field ⋮ Two regularity criteria for 3D Navier-Stokes equations in a bounded domain ⋮ Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations ⋮ Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure ⋮ Regularity criteria for the Navier–Stokes equations in terms of the velocity direction and the flow of energy ⋮ Regularity condition of the incompressible Navier-Stokes equations in terms of one velocity component ⋮ On the role of pressure in the theory of MHD equations ⋮ Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature ⋮ Regularity criteria for the Navier-Stokes equations involving the ratio pressure-gradient of velocity ⋮ A remark on regularity criterion for the Navier-Stokes equations in a bounded domain of \(\mathbb R^N\)

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