Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid

In this paper the author formulates and proves a theorem that relates smoothness of kinetic energy and smoothness of vorticity in a 3-D Navier-Stokes fluid. Setting velocity and vorticity boundary conditions, a direct relation arises between kinetic energy and the squared Euclidean norm of the vorticity. As a direct result, their smoothness is closely related.
Comment: 5 pages, 0 figures