Improvement of several regularity criteria for the Navier-Stokes equations

DOI10.1016/j.nonrwa.2021.103464zbMath1482.35161OpenAlexW3216957635MaRDI QIDQ2113874

Fan Wu

Publication date: 14 March 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103464

zbMATH Keywords

Navier-Stokes equationssum spaceconditional regularitymixed-norm Lebesgue space

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)

On regularity criteria for MHD system in anisotropic Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the regularity criteria of the 3D Navier-Stokes equations in critical spaces
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Conditions implying regularity of the three dimensional Navier-Stokes equation.
• On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations
• A regularity criterion for the solutions of 3D Navier-Stokes equations
• Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity.
• The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
• On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions
• A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
• Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations
• On Masuda uniqueness theorem for Leray-Hopf weak solutions in mixed-norm spaces
• Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
• A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor
• Regularity criteria for the axisymmetric Navier-Stokes system with negative weights
• Regularity criteria for Navier-Stokes equations with slip boundary conditions on non-flat boundaries via two velocity components
• A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
• Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components
• Un teorema di unicita per le equazioni di Navier-Stokes
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Fractional Navier–Stokes regularity criterion involving the positive part of the intermediate eigenvalue of the strain matrix

This page was built for publication: Improvement of several regularity criteria for the Navier-Stokes equations