Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient
From MaRDI portal
Publication:2318075
DOI10.1007/s00021-019-0441-6zbMath1421.35244OpenAlexW2951911059MaRDI QIDQ2318075
Yafei Li, Zdeněk Skalák, Zhengguang Guo
Publication date: 13 August 2019
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-019-0441-6
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
Related Items (13)
Global weighted regularity for the 3D axisymmetric MHD equations ⋮ A note on blow-up criterion of the 3d magnetic Bénard equations ⋮ Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl ⋮ Remarks on regularity criteria for the 3d Navier-Stokes equations ⋮ Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ Blowup criterion of strong solutions to the three-dimensional double-diffusive convection system ⋮ On regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient ⋮ On conditional regularity for the MHD equations via partial components ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation ⋮ From Jean Leray to the millennium problem: the Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the geometric regularity conditions for the 3D Navier-Stokes equations
- 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
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
- A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component
- A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component
- Backward uniqueness for parabolic equations
- 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 \(\mathbb{R}^ n\)
- Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor
- A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
- Sufficient conditions for the regularity to the 3D Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- Teoremi di inclusione per spazi di Sobolev non isotropi
- 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
- On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
- One component regularity for the Navier–Stokes equations
- A Harnack inequality for nonlinear equations
- On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations
This page was built for publication: Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient
