Large amplitude steady periodic waves for fixed-depth rotational flows

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dc.contributor.authorHenry, David
dc.date.accessioned2021-11-10T15:46:41Z
dc.date.available2021-11-10T15:46:41Z
dc.date.issued2013-04-30
dc.date.updated2021-05-20T12:27:21Z
dc.description.abstractWe consider steady periodic water waves with vorticity which propagate over a flat bed with a specified fixed mean-depth d > 0. Following a novel reformulation of the governing equations, we use global bifurcation theory to establish a global continuum of solutions throughout which the mean-depth is a fixed quantity. Furthermore, we establish the limiting behavior of solutions in this continuum, which include the existence of weak stagnation points, that are characteristic of large-amplitude steady periodic water waves.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D. (2013) 'Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows'. Communications in Partial Differential Equations, 38 (6), pp. 1015-1037. doi: 10.1080/03605302.2012.734889en
dc.identifier.doi10.1080/03605302.2012.734889en
dc.identifier.eissn1532-4133
dc.identifier.endpage1037en
dc.identifier.issn0360-5302
dc.identifier.issued6en
dc.identifier.journaltitleCommunications in Partial Differential Equationsen
dc.identifier.startpage1015en
dc.identifier.urihttps://hdl.handle.net/10468/12191
dc.identifier.volume38en
dc.language.isoenen
dc.publisherTaylor & Francisen
dc.relation.urihttps://www.tandfonline.com/doi/abs/10.1080/03605302.2012.734889
dc.rights© 2013 Copyright Taylor and Francis Group, LLC. This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Partial Differential Equations on 30 April 2013, available online: http://www.tandfonline.com/10.1080/03605302.2012.734889en
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/en
dc.subjectFixed-depth flowsen
dc.subjectGlobal bifurcationen
dc.subjectStagnation pointsen
dc.subjectSteady periodic wavesen
dc.subjectVorticityen
dc.titleLarge amplitude steady periodic waves for fixed-depth rotational flowsen
dc.typeArticle (peer-reviewed)en
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