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dc.contributor.authorVarholm, Kristoffer
dc.contributor.authorAasen, Ailo
dc.date.accessioned2017-11-21T14:15:22Z
dc.date.available2017-11-21T14:15:22Z
dc.date.created2017-05-04T14:07:16Z
dc.date.issued2017
dc.identifier.citationJournal of Mathematical Fluid Mechanics. 2017, .nb_NO
dc.identifier.issn1422-6928
dc.identifier.urihttp://hdl.handle.net/11250/2467397
dc.description.abstractWe establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slightly from earlier theory. The solutions describe waves with critical layers and an arbitrary number of crests and troughs in each minimal period. An important part of the analysis is a fairly complete description of the local geometry of the so-called kernel equation, and of the small-amplitude solutions. Finally, we investigate the asymptotic behavior of the bifurcating solutions.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringer Verlagnb_NO
dc.relation.urihttps://arxiv.org/abs/1508.04664
dc.titleTraveling gravity water waves with critical layersnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber27nb_NO
dc.source.journalJournal of Mathematical Fluid Mechanicsnb_NO
dc.identifier.doi10.1007/s00021-017-0316-7
dc.identifier.cristin1468195
dc.relation.projectNorges forskningsråd: 231668nb_NO
dc.description.localcode© Springer Verlag. This is the authors' accepted and refereed manuscript to the article. LOCKED until 6.2.2018 due to copyright restrictions. The final publication is available at https://link.springer.com/article/10.1007%2Fs10682-015-9763-x.nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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