Eigenvalue regularity criteria of the three-dimensional micropolar fluid equations

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)

Cites Work

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On the geometric regularity conditions for the 3D Navier-Stokes equations
On regularity criteria for the three-dimensional micropolar fluid equations in the critical Morrey-Campanato space
Global well-posedness for the micropolar fluid system in critical Besov spaces
About some possible blow-up conditions for the 3-D Navier-Stokes equations
On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations
Global existence and exponential stability for the micropolar fluid system
A note on the existence and uniqueness of solutions of the micropolar fluid equations
Micropolar fluids. Theory and applications
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
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A refined regularity criteria of weak solutions to the magneto-micropolar fluid equations
Blowup criteria of a dissipative system modeling electrohydrodynamics in sum spaces
Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices
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
Remarks on the regularity criteria of weak solutions to the three-dimensional micropolar fluid equations
On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
Fourier Analysis and Nonlinear Partial Differential Equations
A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure
Some geometric constraints and the problem of global regularity for the Navier–Stokes equations
On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor
A locally anisotropic regularity criterion for the Navier–Stokes equation in terms of vorticity

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