Global bifurcation of capillary-gravity-stratified water waves

cbnd
Thumbnail Image
Files
Date
2014-07-24
Authors
Henry, David
Matioc, Anca-Vocihita
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Published Version
10.1017/S0308210512001990
Research Projects
Organizational Units
Journal Issue
Abstract
We study steady periodic water waves with variable vorticity and density, where we allow for stagnation points in the flow, and where we admit the capillarity effects of surface tension. Using global bifurcation theory, we extend a local curve of non-trivial solutions of the governing equations to a global continuum of solutions. Furthermore, we obtain a description of the behaviour of the solutions along this continuum.
Description
Keywords
Stratified water waves , Global bifurcation , Vorticity
Citation
Henry, D. and Matioc, A.-V. (2014) 'Global bifurcation of capillary-gravity-stratified water waves', Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics, 144 (4), pp. 775-786. doi: 10.1017/S0308210512001990
Link to publisher’s version
URI
https://hdl.handle.net/10468/12158
Collections
Mathematical Sciences- Journal Articles
Copyright
© Royal Society of Edinburgh 2014. This article has been published in a revised form in Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics, http://doi.org/10.1017/S0308210512001990. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed.