English

Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

Abstract

In this paper we consider the three-dimensional Navier-Stokes equations in infinite channel. We provide a regularity criterion for solutions of the three-dimensional Navier-Stokes equations in terms of the vertical component of the velocity field.

Keywords

Cite

@article{arxiv.math/0609667,
  title  = {Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows},
  author = {Chonsheng Cao and Junlin Qin and Edriss S. Titi},
  journal= {arXiv preprint arXiv:math/0609667},
  year   = {2007}
}
R2 v1 2026-07-22T17:42:54.697Z