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Splash singularity for water waves

dc.creatorCastro Martínez, Ángeles
dc.creatorCórdoba Gazolaz, Diegoes
dc.creatorFefferman, Charles L.es
dc.creatorGancedo García, Franciscoes
dc.creatorGómez Serrano, Javieres
dc.date.accessioned2016-09-21T06:13:55Z
dc.date.available2016-09-21T06:13:55Z
dc.date.issued2012-01-17
dc.identifier.citationCastro Martínez, Á., Córdoba Gazolaz. Diego, , Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2012). Splash singularity for water waves. Proceedings of the National Academy of Sciences, 109 (3), 733-738.
dc.identifier.issn0027-8424es
dc.identifier.issn1091-6490es
dc.identifier.urihttp://hdl.handle.net/11441/45166
dc.description.abstractWe exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical evidence that there exist solutions of the 2D water-wave equation that start from a graph, turn over, and collapse in a splash singularity (self-intersecting curve in one point) in finite time.es
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipEuropean Research Counciles
dc.description.sponsorshipNational Science Foundationes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherNational Academy of Scienceses
dc.relation.ispartofProceedings of the National Academy of Sciences, 109 (3), 733-738.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBlow-upes
dc.subjectEuleres
dc.subjectIncompressiblees
dc.subjectFree boundaryes
dc.titleSplash singularity for water waveses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2008-03754es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/203138es
dc.relation.projectIDDMS-0901040es
dc.relation.projectIDDMS-0901810es
dc.relation.publisherversionhttp://www.pnas.org/content/109/3/733.full.pdfes
dc.identifier.doi10.1073/pnas.1115948108es
dc.contributor.groupUniversidad de Sevilla. FQM104: Analisis Matematicoes
idus.format.extent6 p.es
dc.journaltitleProceedings of the National Academy of Scienceses
dc.publication.volumen109es
dc.publication.issue3es
dc.publication.initialPage733es
dc.publication.endPage738es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45166

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