English

The pressure distribution in extreme Stokes waves

Analysis of PDEs 2016-02-01 v2 Fluid Dynamics

Abstract

In this paper we prove that the pressure beneath an extreme Stokes wave over finite depth is strictly increasing with depth. Additionally it is shown that the pressure decreases in moving between a crest-line and trough-line, while it is stationary with respect to the horizontal coordinate along these lines themselves.

Cite

@article{arxiv.1601.06026,
  title  = {The pressure distribution in extreme Stokes waves},
  author = {Tony Lyons},
  journal= {arXiv preprint arXiv:1601.06026},
  year   = {2016}
}

Comments

14 pages, Accepted for publication in Nonlinear Analysis: Real World Applications

R2 v1 2026-06-22T12:34:55.534Z