On the Regularity for 3D Navier-Stokes Equation

Authors :: Lin, Qun
Publication Year :: 2013
Abstract: In this paper we will prove that the vorticity belongs to L1(0; T ; L2(\Omega)) for 3D incompressible Navier-Stokes equation with periodic initial-boundary value conditions, then the existence of a global smooth solution is obtained. Our approach is to construct a set of auxiliary problems to approximate the original one of vorticity equation.<br />Comment: modification