Global bifurcation of capillary-gravity-stratified water waves

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dc.contributor.authorHenry, David
dc.contributor.authorMatioc, Anca-Vocihita
dc.date.accessioned2021-11-08T14:20:30Z
dc.date.available2021-11-08T14:20:30Z
dc.date.issued2014-07-24
dc.date.updated2021-11-08T14:13:48Z
dc.description.abstractWe 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.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, 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/S0308210512001990en
dc.identifier.doi10.1017/S0308210512001990en
dc.identifier.endpage786en
dc.identifier.issn0370-1646
dc.identifier.issued4en
dc.identifier.journaltitleProceedings Of The Royal Society Of Edinburgh Section A-Mathematicsen
dc.identifier.startpage775en
dc.identifier.urihttps://hdl.handle.net/10468/12158
dc.identifier.volume144en
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.rights© 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.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectStratified water wavesen
dc.subjectGlobal bifurcationen
dc.subjectVorticityen
dc.titleGlobal bifurcation of capillary-gravity-stratified water wavesen
dc.typeArticle (peer-reviewed)en
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