On regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient

DOI10.1007/s00033-020-01442-1zbMath1467.35245OpenAlexW3120576020MaRDI QIDQ2026450

Yali Zhang, Zujin Zhang

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01442-1

zbMATH Keywords

Navier-Stokes equationsregularity criteriavelocity gradient estimates

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)

Related Items (1)

A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation

Cites Work

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• An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component
• Regularity criteria for the Navier-Stokes equations based on one component of velocity
• On the critical one component regularity for 3-D Navier-Stokes system: general case
• The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component
• Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
• An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component
• The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component
• Remarks on regularity criteria for the Navier-Stokes equations via one velocity component
• A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.
• Some remarks on the Navier-Stokes equations with regularity in one direction.
• Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient
• Sufficient conditions for the regularity to the 3D Navier-Stokes equations
• On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
• Un teorema di unicita per le equazioni di Navier-Stokes
• A new regularity criterion for weak solutions to the Navier-Stokes equations
• A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient
• On the critical one component regularity for 3-D Navier-Stokes system
• Navier-Stokes equations with regularity in one direction
• On the regularity of the solutions of the Navier–Stokes equations via one velocity component
• On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
• Regularity criteria for the three-dimensional Navier-Stokes equations
• Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• One component regularity for the Navier–Stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component

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