On regularity criteria for the 3D Navier-Stokes equations involving the ratio of the vorticity and the velocity

This note concerns regularity criteria for the Navier-Stokes equations. It is proved that if the solution satisfies ∫0T‖ω(τ)‖Ls2s2s−3‖u(τ)‖L3f(s) dτ<∞ for 32