Global bifurcation of capillary-gravity-stratified water waves

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Date
2014-07-24
Authors
Henry, David
Matioc, Anca-Vocihita
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Publisher
Cambridge University Press
Published Version
10.1017/S0308210512001990
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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.
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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
URI
http://hdl.handle.net/10468/12158
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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.