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arXiv · 1308.2297

On the Regularity for 3D Navier-Stokes Equation

Qun Lin
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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.

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Qun Lin. 2013-08-10. On the Regularity for 3D Navier-Stokes Equation. https://arxiv.org/abs/1308.2297

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