Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
19 - Supplement 1
Pages
58 - 71
Publication Date
2012/11/28
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925112400074How to use a DOI?
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  -