Extrema of the dynamic pressure in a solitary wave
Analysis of PDEs
2017-01-12 v2 Fluid Dynamics
Abstract
We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.
Cite
@article{arxiv.1612.07918,
title = {Extrema of the dynamic pressure in a solitary wave},
author = {François Genoud},
journal= {arXiv preprint arXiv:1612.07918},
year = {2017}
}
Comments
a couple of remarks about zero vs. non-zero vorticity included; some references added