Finite time singularities for water waves with surface tension

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

doi:10.1063/1.4765339

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	2016-09-21T10:29:26Z
dc.date.available	2016-09-21T10:29:26Z
dc.date.issued	2012-11
dc.identifier.citation	Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y Gómez Serrano, J. (2012). Finite time singularities for water waves with surface tension. Journal of Mathematical Physics, 53 (115622), 115622-1-115622-26.
dc.identifier.issn	0022-2488	es
dc.identifier.issn	1089-7658	es
dc.identifier.uri	http://hdl.handle.net/11441/45195
dc.description.abstract	Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singularity, i.e. that the curve touches itself either in a point or along an arc. To do so, the main ingredients of the proof are a transformation to desingularize the curve and a priori energy estimates.	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	AIP Publishing	es
dc.relation.ispartof	Journal of Mathematical Physics, 53 (115622), 115622-1-115622-26.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Euler	es
dc.subject	Incompressible	es
dc.subject	Blow-up	es
dc.subject	Water waves	es
dc.subject	Splash	es
dc.subject	Splat	es
dc.subject	Surface tension	es
dc.title	Finite time singularities for water waves with surface tension	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	info:eu-repo/grantAgreement/EC/FP7/203138	es
dc.relation.projectID	DMS-0901040	es
dc.relation.publisherversion	http://dx.doi.org/10.1063/1.4765339	es
dc.identifier.doi	10.1063/1.4765339	es
dc.contributor.group	Universidad de Sevilla. FQM104: Analisis Matematico	es
idus.format.extent	32 p.	es
dc.journaltitle	Journal of Mathematical Physics	es
dc.publication.volumen	53	es
dc.publication.issue	115622
dc.publication.initialPage	115622-1	es
dc.publication.endPage	115622-26	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/45195

Ficheros	Tamaño	Formato	Ver	Descripción
Finite time singularities for ...	1.186Mb	[PDF]	Ver/Abrir

Este registro aparece en las siguientes colecciones

Artículos (Análisis Matemático)

Mostrar el registro sencillo del ítem

Excepto si se señala otra cosa, la licencia del ítem se describe como: Attribution-NonCommercial-NoDerivatives 4.0 Internacional