Pressure beneath a traveling wave with constant vorticity

Vishal Vasan; Katie Oliveras

doi:10.3934/dcds.2014.34.3219

Article Contents

2014, Volume 34, Issue 8: 3219-3239. Doi: 10.3934/dcds.2014.34.3219

This issue Previous Article Non-existence of global energy minimisers in Stokes waves problems Next Article Steady stratified periodic gravity waves with surface tension I: Local bifurcation

Pressure beneath a traveling wave with constant vorticity

Vishal Vasan^1, and
Katie Oliveras^2,

1.
Department of Mathematics, Pennsylvania State University, University Park, PA 16802
2.
Mathematics Department, Seattle University, Seattle, WA 98122

Received: July 2013

Revised: September 2013

Published: August 2014

Abstract / Introduction Related Papers Cited by

Abstract

The main focus of this paper is to derive a direct relationship between the surface of an inviscid traveling gravity wave in two dimensions, and the pressure at the bottom of the fluid without approximation, including the effects of constant vorticity. Using this relationship, we reconstruct both the pressure and streamlines throughout the fluid domain. We compare our numerical results with various analytical results (such as the bounds presented in [7-10])as well as known numerical results (see [16]).

Keywords:

Mathematics Subject Classification: Primary: 35J65, 76B15; Secondary: 76B47.

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References

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