Structural stability for the splash singularities of the water waves problem

Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier

doi:10.3934/dcds.2014.34.4997

Artículo

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	2016-09-23T06:31:26Z
dc.date.available	2016-09-23T06:31:26Z
dc.date.issued	2014-12
dc.identifier.citation	Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2014). Structural stability for the splash singularities of the water waves problem. Discrete and Continuous Dynamical Systems - Series A, 34 (12), 4997-5043.
dc.identifier.issn	1078-0947	es
dc.identifier.issn	1553-5231	es
dc.identifier.uri	http://hdl.handle.net/11441/45316
dc.description.abstract	In this paper we show a structural stability result for water waves. The main motivation for this result is that we would like to exhibit a water wave whose interface starts as a graph and ends in a splash. Numerical simulations lead to an approximate solution with the desired behaviour. The stability result will conclude that near the approximate solution to water waves there is an exact solution.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.description.sponsorship	Instituto de Ciencias Matemáticas Severo Ochoa	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	American Institute of Mathematical Sciences	es
dc.relation.ispartof	Discrete and Continuous Dynamical Systems - Series A, 34 (12), 4997-5043.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Water waves	es
dc.subject	Splash singularity	es
dc.subject	Computer-assisted	es
dc.subject	Contour dynamics	es
dc.subject	Euler equation	es
dc.title	Structural stability for the splash singularities of the water waves problem	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	MTM2011-26696	es
dc.relation.projectID	SEV-2011-0087	es
dc.relation.projectID	info:eu-repo/grantAgreement/EC/FP7/307179	es
dc.relation.projectID	DMS-09-0104	es
dc.relation.publisherversion	https://www.aimsciences.org/journals/pdfs.jsp?paperID=10003&mode=full	es
dc.identifier.doi	10.3934/dcds.2014.34.4997	es
dc.contributor.group	Universidad de Sevilla. FQM104: Analisis Matematico	es
idus.format.extent	50 p.	es
dc.journaltitle	Discrete and Continuous Dynamical Systems - Series A	es
dc.publication.volumen	34	es
dc.publication.issue	12	es
dc.publication.initialPage	4997	es
dc.publication.endPage	5043	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/45316

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