On conditional regularity for the MHD equations via partial components
From MaRDI portal
Publication:2028599
DOI10.1007/s00021-021-00579-xzbMath1468.35136OpenAlexW3158946995MaRDI QIDQ2028599
Yafei Li, Zdeněk Skalák, Zhengguang Guo
Publication date: 1 June 2021
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-021-00579-x
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items
Global weighted regularity for the 3D axisymmetric MHD equations, Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion, Regularity criteria of axisymmetric weak solutions to the 3D MHD equations
Cites Work
- On regularity criteria for the 3D incompressible MHD equations involving one velocity component
- On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
- Regularity criteria for the 3D MHD equations involving partial components
- Some new regularity criteria for the 3D MHD equations
- On the geometric regularity conditions for the 3D Navier-Stokes equations
- Regularity criteria for the Navier-Stokes equations based on one component of velocity
- Remarks on regularities for the 3D MHD equations
- A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations
- 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.
- Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component
- Two regularity criteria for the 3D MHD equations
- Some regularity criteria for the 3D incompressible magnetohydrodynamics
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- Regularity criteria for the 3D MHD equations in terms of the pressure
- Regularity results for weak solutions of the 3D MHD equations.
- Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components
- On the global regularity for the 3D magnetohydrodynamics equations involving partial components
- Bounds and new approaches for the 3D MHD equations
- Regularity criteria for the 3D MHD equations via partial derivatives
- A regularity criterion for the three-dimensional MHD equations in terms of one directional derivative of the pressure
- Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component
- A new regularity criterion for the 3D MHD equations involving partial components
- Regularity criteria of MHD system involving one velocity and one current density component
- The regularity criteria on the magnetic field to the \(3D\) incompressible MHD equations
- Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient
- Conditional regularity for the 3D incompressible MHD equations via partial components
- On the regularity criteria for weak solutions to the magnetohydrodynamic equations
- 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
- On the regularity of weak solutions to the magnetohydrodynamic equations
- Regularity criteria for the 3D MHD equations via partial derivatives. II
- A new regularity criterion for weak solutions to the Navier-Stokes equations
- Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system
- A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
- Some mathematical questions related to the mhd equations
- A REGULARITY CRITERION FOR THE NAVIER–STOKES EQUATIONS IN TERMS OF ONE DIRECTIONAL DERIVATIVE OF THE VELOCITY FIELD
- The application of anisotropic Troisi inequalities to the conditional regularity for the Navier–Stokes equations
- Ladyzhenskaya–Prodi–Serrin type regularity criteria for the 3D incompressible MHD equations in terms of 3 × 3 mixture matrices
- 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
- Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
- An optimal regularity criterion for the 3D MHD equations in homogeneous Besov spaces
- Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components
- On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
- On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations
- On the critical one-component velocity regularity criteria to 3-D incompressible MHD system