A REGULARITY CRITERION FOR THE NAVIER–STOKES EQUATIONS IN TERMS OF ONE DIRECTIONAL DERIVATIVE OF THE VELOCITY FIELD

DOI10.1142/S0219530512500182zbMath1256.35057OpenAlexW2029369671MaRDI QIDQ3165320

Zhengguang Guo, Saddek Gala

Publication date: 26 October 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530512500182

zbMATH Keywords

Navier-Stokes equationsa priori estimatesregularity criterion

Mathematics Subject Classification ID

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

Related Items (9)

A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient ⋮ Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations ⋮ A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices ⋮ Remark on regularity criterion via pressure in anisotropic Lebesgue spaces to the 3d Navier-Stokes equations ⋮ A note on the regularity criteria for the Navier-Stokes equations ⋮ Blowup criterion of strong solutions to the three-dimensional double-diffusive convection system ⋮ Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces ⋮ On conditional regularity for the MHD equations via partial components ⋮ Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations

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