Volume 19, Issue Supplement 1, November 2012, Pages 58 - 71
Dispersion Relations for Steady Periodic Water Waves of Fixed Mean-Depth with an Isolated Bottom Vorticity Layer
Authors
David Henry
Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria,david.henry@univie.ac.at
Received 19 March 2012, Accepted 20 April 2012, Available Online 28 November 2012.
- DOI
- 10.1142/S1402925112400074How to use a DOI?
- Keywords
- Steady water waves; dispersion relation; discontinuous vorticity
- Abstract
In this paper we obtain the dispersion relations for small-amplitude steady periodic water waves, which propagate over a flat bed with a specified mean depth, and which exhibit discontinuous vorticity. We take as a model an isolated layer of constant nonzero vorticity adjacent to the flat bed, with irrotational flow above the layer.
- Copyright
- © 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 - David Henry PY - 2012 DA - 2012/11/28 TI - Dispersion Relations for Steady Periodic Water Waves of Fixed Mean-Depth with an Isolated Bottom Vorticity Layer JO - Journal of Nonlinear Mathematical Physics SP - 58 EP - 71 VL - 19 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112400074 DO - 10.1142/S1402925112400074 ID - Henry2012 ER -