A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component

DOI10.1063/1.4904836zbMath1308.35177OpenAlexW2018068618MaRDI QIDQ2939200

Zdeněk Skalák

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4904836

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (12)

A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient ⋮ Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ Regularity criterion for weak solutions to the Navier-Stokes involving one velocity and one vorticity components ⋮ Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component ⋮ Regularity criteria for weak solutions of the magneto-micropolar equations ⋮ An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component ⋮ A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component ⋮ On conditional regularity for the MHD equations via partial components ⋮ A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component ⋮ Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradient ⋮ On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient

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