Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain

DOI10.1088/1361-6544/ac8e4czbMath1500.35223OpenAlexW4306402949MaRDI QIDQ5042392

Zhengguang Guo, Zdeněk Skalák, Petr Kučera

Publication date: 19 October 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac8e4c

zbMATH Keywords

Navier-Stokes equationsstreamlinesNavier-type boundary conditionconditional regularitythree-dimensional bounded domain

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

A new class of regularity criteria for the MHD and Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
• Backward uniqueness for parabolic equations
• Navier-Stokes equations: some questions related to the direction of the vorticity
• An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field
• A regularity criterion for the Navier-Stokes equations via one diagonal entry of the velocity gradient
• Prevention of blow-up in the Navier-Stokes equations by controlling the rate of change of the velocity magnitude or the kinetic energy along the streamlines
• Un teorema di unicita per le equazioni di Navier-Stokes
• Some geometric constraints and the problem of global regularity for the Navier–Stokes equations
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• On robustness of a strong solution to the Navier–Stokes equations with Navier’s boundary conditions in theL³-norm
• Regularity criteria for the Navier–Stokes equations in terms of the velocity direction and the flow of energy