Global bifurcation of capillary-gravity-stratified water waves

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Global bifurcation of capillary-gravity-stratified water waves

Henry, David; Matioc, Anca-Vocihita
Date: 2014-07-24
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.
Copyright information: https://creativecommons.org/licenses/by-nc-nd/4.0/
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
Published Version: 10.1017/S0308210512001990

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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© 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. Except where otherwise noted, this item's license is described as © 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.
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