%0 Journal Article
%T On the existence of smooth periodic solutions of 3D homogeneous Navier-Stokes equations
%A Jun-De Li
%J Mathematics
%D 2013
%I arXiv
%X In this paper, we consider the smooth solutions of 3D incompressible Navier-Stokes equations in periodic domains. We prove that, in the absence of external forces and with divergence-free smooth periodic initial data, periodic smooth solutions of the 3D Navier-Stokes equations exist for all time.
%U http://arxiv.org/abs/1310.8031v2