Volume 19, Issue Supplement 1, November 2012, Pages 179 - 189
Relating the Bottom Pressure and the Surface Elevation in the Water Wave Problem
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA,firstname.lastname@example.org
K. L. Oliveras
Department of Mathematics, Seattle University, Seattle, WA 98122, USA,email@example.com
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA,firstname.lastname@example.org
Received 29 July 2012, Accepted 7 September 2012, Available Online 28 November 2012.
- 10.1142/S1402925112400141How to use a DOI?
- Water waves; pressure; review
An overview is presented of recent progress on the relation between the pressure at the bottom of the flat water bed and the elevation of the free water boundary within the context of the one-dimensional, irrotational water wave problem. We present five different approaches to this problem. All are compared to (1) numerical data for Stokes waves, one-dimensional traveling wave solutions of the full irrotational water wave problem, and (2) experimental data for high-amplitude waves in a long, narrow (i.e. one-dimensional) wave tank.
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - B. Deconinck AU - K. L. Oliveras AU - V. Vasan PY - 2012 DA - 2012/11/28 TI - Relating the Bottom Pressure and the Surface Elevation in the Water Wave Problem JO - Journal of Nonlinear Mathematical Physics SP - 179 EP - 189 VL - 19 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112400141 DO - 10.1142/S1402925112400141 ID - Deconinck2012 ER -