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

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) Weak solutions to PDEs (35D30)

Cites Work

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Some new regularity criteria for the 3D MHD equations
A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure
Remarks on regularities for the 3D MHD equations
A note on regularity criteria in terms of pressure for the 3D viscous MHD equations
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces
Regularity criteria in terms of the pressure for the three-dimensional MHD equations
Two regularity criteria for the 3D MHD equations
Regularity criteria for the 3D MHD equations in terms of the pressure
Backward uniqueness for parabolic equations
Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components
A regularity criterion in terms of pressure for the 3D viscous MHD equations
MHD equations with regularity in one direction
New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure
A regularity criterion for the Navier-Stokes equations via one diagonal entry of the velocity gradient
On regularity for the 3D MHD equations via one directional derivative of the pressure
The anisotropic integrability logarithmic regularity criterion for the 3D MHD equations
On regularity of the 3D MHD equations based on one velocity component in anisotropic Lebesgue spaces
A new regularity criterion for the 3D MHD equations involving partial components
An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces
On the regularity of weak solutions to the magnetohydrodynamic equations
Regularity criteria for the 3D MHD equations via partial derivatives. II
Un teorema di unicita per le equazioni di Navier-Stokes
Improved regularity criteria for the MHD equations in terms of pressure using an Orlicz norm
Navier-Stokes equations with regularity in one directional derivative of the pressure
On regularity criteria in terms of pressure for the 3D viscous MHD equations
Fourier Analysis and Nonlinear Partial Differential Equations
Global regularity for solutions of the Navier–Stokes equation sufficiently close to being eigenfunctions of the Laplacian
Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain
A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field

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