An estimate for the vorticity of the Navier-Stokes equation

Let over(u, →) (ṡ, t) be a strong solution of the Navier-Stokes equation on 3-dimensional torus T3, and over(ω, →) (ṡ, t) = ∇ × over(u, →) (ṡ, t) be the vorticity. In this Note we show that{norm of matrix} over(ω, →) (ṡ, t) {norm of matrix}1 + frac(sqrt(2), 4 ν) {norm of matrix} over(u, →) (ṡ, t) {n...