English

Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel

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

Abstract

In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of zp\partial_z p, where pp is the pressure, for the global existence of the strong solutions to the three-dimensional Navier-Stokes equations.

Keywords

Cite

@article{arxiv.math/0702647,
  title  = {Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel},
  author = {Chongsheng Cao and Edriss S. Titi},
  journal= {arXiv preprint arXiv:math/0702647},
  year   = {2007}
}