On the regularizing effect of the vorticity direction in incompressible viscous flows
The paper deals with the global existence in time of strong solutions to the 3D Navier-Stokes equations. When the direction of the vorticity belongs to some suitable Sobolev spaces, then supposing the existence of a weak solution, the existence of a unique smooth solution of the Cauchy problem for the Navier-Stokes equations is proved.
scientific article; zbMATH DE number 1836175