On the Regularity Conditions for the Navier-Stokes and Related Equations
On the Regularity Conditions for the Navier-Stokes and Related Equations
We obtain a regularity conditions for solutions of the 3D Navier-Stokes equations with fractional powers of the Laplacian, which incorporates the vorticity direction and its magnitude simultaneously. We find that regularity assumption of direction field of the vorticity compensates with the integrability condition for the magnitude of vorticity. The regularity …