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

Daoyuan Fang; Chenyin Qian

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

Analysis of PDEs 2013-03-13 v2

Authors: Daoyuan Fang , Chenyin Qian

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.

Keywords

Navier-Stokes equations regularity criteria Leray-Hopf weak solutions Prodi-Serrin condition velocity component gradient tensor 3D fluid dynamics

Cite

@article{arxiv.1212.2335,
  title  = {Some new regularity criteria for the 3D Navier-Stokes Equations},
  author = {Daoyuan Fang and Chenyin Qian},
  journal= {arXiv preprint arXiv:1212.2335},
  year   = {2013}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1210.3857, arXiv:1205.1255; and with arXiv:1005.4463 by other authors

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