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arXiv · 1310.3579

On the Regularity of the Solutions for Cauchy Problem of Incompressible 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(R3)) for the Cauchy problem of 3D incompressible Navier-Stokes equation, 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. 2013-10-14. On the Regularity of the Solutions for Cauchy Problem of Incompressible 3D Navier-Stokes Equation. https://arxiv.org/abs/1310.3579

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