English

The regularity criterion for 3D Navier-Stokes Equations

Analysis of PDEs 2012-11-11 v2

Abstract

In this article, we establish sufficient conditions for the regularity of solutions of Navier-Stokes equations based on one of the nine entries of the gradient tensor. We improve the recently results of C.S. Cao, E.S. Titi (Arch. Rational Mech.Anal. 202 (2011) 919-932) and Y. Zhou, M. Pokornyˊ\acute{y} (Nonlinearity 23, 1097-1107 (2010)).

Keywords

Cite

@article{arxiv.1205.1255,
  title  = {The regularity criterion for 3D Navier-Stokes Equations},
  author = {Daoyuan Fang and Chenyin Qian},
  journal= {arXiv preprint arXiv:1205.1255},
  year   = {2012}
}

Comments

arXiv admin note: text overlap with arXiv:1005.4463 by other authors

R2 v1 2026-06-21T20:59:18.880Z