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arXiv · 1212.2335

Some new regularity criteria for the 3D Navier-Stokes Equations

Daoyuan Fang·Chenyin Qian
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Abstract

Several types of new regularity criteria for Leray-Hopf weak solutions $u$ to the 3D Navier-Stokes equations are obtained. Some of them are based on the third component $u_3$ of velocity under Prodi-Serrin index condition, another type is in terms of $\omega_3$ and $\partial_3u_3$ with Prodi-Serrin index condition. And a very recent work of the authors, based on only one of the nine entries of the gradient tensor, is renovated.

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Daoyuan Fang, Chenyin Qian. 2012-12-11. Some new regularity criteria for the 3D Navier-Stokes Equations. https://arxiv.org/abs/1212.2335

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