Finite time blow-up and breaking of solitary wind waves

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dc.contributor.authorManna, M. A.
dc.contributor.authorMontalvo, P.
dc.contributor.authorKraenkel, R. A. [UNESP]
dc.contributor.institutionUniversité Montpellier 2, Laboratoire Charles Coulomb UMR 5221
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-01-14T15:05:22Z
dc.date.available2020-01-14T15:05:22Z
dc.date.issued2014-07-09
dc.description.abstractThe evolution of surface water waves in finite depth under wind forcing is reduced to an antidissipative Korteweg-de Vries-Burgers equation. We exhibit its solitary wave solution. Antidissipation accelerates and increases the amplitude of the solitary wave and leads to blow-up and breaking. Blow-up occurs in finite time for infinitely large asymptotic space so it is a nonlinear, dispersive, and antidissipative equivalent of the linear instability which occurs for infinite time. Due to antidissipation two given arbitrary and adjacent planes of constant phases of the solitary wave acquire different velocities and accelerations inducing breaking. Soliton breaking occurs in finite space in a time prior to the blow-up. We show that the theoretical growth in amplitude and the time of breaking are both testable in an existing experimental facility.en
dc.description.affiliationUniversité Montpellier 2, Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier
dc.description.affiliationInstituto de Física Téorica, UNESP - Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 27, 01140-070 São Paulo
dc.description.affiliationUnespInstituto de Física Téorica, UNESP - Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 27, 01140-070 São Paulo
dc.description.sponsorshipLabex NUMEV (Digital and Hardware Solutions, Modeling for the Environment and Life Sciences)
dc.description.sponsorshipANR
dc.description.sponsorshipIdANRANR-13-ASTR-0007
dc.format.extent4
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.90.013006
dc.identifier.citationPhysical Review E. College Pk: Amer Physical Soc, v. 90, n. 1, 4 p., 2014.
dc.identifier.doi10.1103/PhysRevE.90.013006
dc.identifier.fileWOS000338741900005.pdf
dc.identifier.issn1550-2376
dc.identifier.issn1539-3755
dc.identifier.scopus2-s2.0-84904165671
dc.identifier.urihttp://hdl.handle.net/11449/191345
dc.identifier.wosWOS:000338741900005
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review E
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.sourceScopus
dc.titleFinite time blow-up and breaking of solitary wind wavesen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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