dc.creator | Castro Martínez, Ángel | es |
dc.creator | Córdoba Gazolaz, Diego | es |
dc.creator | Fefferman, Charles L. | es |
dc.creator | Gancedo García, Francisco | es |
dc.creator | Gómez Serrano, Javier | es |
dc.date.accessioned | 2016-09-21T06:13:55Z | |
dc.date.available | 2016-09-21T06:13:55Z | |
dc.date.issued | 2012-01-17 | |
dc.identifier.citation | Castro 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.issn | 0027-8424 | es |
dc.identifier.issn | 1091-6490 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45166 | |
dc.description.abstract | We 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.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | European Research Council | es |
dc.description.sponsorship | National Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | National Academy of Sciences | es |
dc.relation.ispartof | Proceedings of the National Academy of Sciences, 109 (3), 733-738. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Blow-up | es |
dc.subject | Euler | es |
dc.subject | Incompressible | es |
dc.subject | Free boundary | es |
dc.title | Splash singularity for water waves | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2008-03754 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/203138 | es |
dc.relation.projectID | DMS-0901040 | es |
dc.relation.projectID | DMS-0901810 | es |
dc.relation.publisherversion | http://www.pnas.org/content/109/3/733.full.pdf | es |
dc.identifier.doi | 10.1073/pnas.1115948108 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matematico | es |
idus.format.extent | 6 p. | es |
dc.journaltitle | Proceedings of the National Academy of Sciences | es |
dc.publication.volumen | 109 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 733 | es |
dc.publication.endPage | 738 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45166 | |