Two-component equations modelling water waves with constant vorticity

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dc.contributor.authorEscher, Joachim
dc.contributor.authorHenry, David
dc.contributor.authorKolev, Boris
dc.contributor.authorLyons, Tony
dc.contributor.funderIrish Research Councilen
dc.date.accessioned2021-11-08T15:55:44Z
dc.date.available2021-11-08T15:55:44Z
dc.date.issued2014-10-26
dc.date.updated2021-05-20T12:08:47Z
dc.description.abstractIn this paper, we derive a two-component system of nonlinear equations which models two-dimensional shallow water waves with constant vorticity. Then, we prove well-posedness of this equation using a geometrical framework which allows us to recast this equation as a geodesic flow on an infinite-dimensional manifold. Finally, we provide a criterion for global existence.en
dc.description.sponsorshipIrish Research Council (Campus France PHC “Ulysses” programme)en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationEscher, J., Henry, D., Kolev, B. and Lyons, T. (2016) 'Two-component equations modelling water waves with constant vorticity', Annali Di Matematica Pura Ed Applicata, 195 (1), pp. 249-271. doi: 10.1007/s10231-014-0461-zen
dc.identifier.doi10.1007/s10231-014-0461-zen
dc.identifier.eissn1618-1891
dc.identifier.endpage271en
dc.identifier.issn0373-3114
dc.identifier.issued1en
dc.identifier.journaltitleAnnali Di Matematica Pura Ed Applicataen
dc.identifier.startpage249en
dc.identifier.urihttps://hdl.handle.net/10468/12168
dc.identifier.volume195en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urihttps://link.springer.com/article/10.1007%2Fs10231-014-0461-z
dc.rights© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2014. This is a post-peer-review, pre-copyedit version of an article published in Annali di Matematica. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10231-014-0461-zen
dc.subjectWater wavesen
dc.subjectVorticityen
dc.subjectModel equationsen
dc.subjectEuler equationen
dc.subjectDiffeomorphism groupen
dc.titleTwo-component equations modelling water waves with constant vorticityen
dc.typeArticle (peer-reviewed)en
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