Direction of Vorticity and Smoothness of Viscous Fluid Flows Subjected to Boundary Constraints
These notes concern the study of sufficient conditions on the direction of the vorticity to guarantee regularity of solutions to the evolution NavierStokes equations. We emphasize here some thread lines of the research, taken as a whole. Interdependence among distinct results and techniques is discussed. We end by a sketch of the proof of a quite recent result.
direction of vorticity regularity navierstokes equations slip boundary conditions