On the existence of smooth periodic solutions of 3D homogeneous Navier-Stokes equations

Jun-De Li

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arXiv · 1310.8031

On the existence of smooth periodic solutions of 3D homogeneous Navier-Stokes equations

Jun-De Li

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Abstract

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.

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Jun-De Li. 2014-08-06. On the existence of smooth periodic solutions of 3D homogeneous Navier-Stokes equations. https://arxiv.org/abs/1310.8031

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