Splash singularities for the one-phase Muskat problem in stable regimes

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

doi:10.1007/s00205-016-0999-6

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.date.accessioned	2016-09-23T06:37:03Z
dc.date.available	2016-09-23T06:37:03Z
dc.date.issued	2016-10
dc.identifier.citation	Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L. y Gancedo García, F. (2016). Splash singularities for the one-phase Muskat problem in stable regimes. Archive for Rational Mechanics and Analysis, 222 (1), 213-243.
dc.identifier.issn	0003-9527	es
dc.identifier.issn	1432-0673	es
dc.identifier.uri	http://hdl.handle.net/11441/45318
dc.description.abstract	This paper shows finite time singularity formation for the Muskat problem in a stable regime. The framework we exhibit is with a dry region, where the density and the viscosity are set equal to 0 (the gradient of the pressure is equal to (0, 0)) in the complement of the fluid domain. The singularity is a splash-type: a smooth fluid boundary collapses due to two different particles evolve to collide at a single point. This is the first example of a splash singularity for a parabolic problem.	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.description.sponsorship	Office of Naval Research	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Archive for Rational Mechanics and Analysis, 222 (1), 213-243.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	Splash singularities for the one-phase Muskat problem in stable regimes	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/FP7/307179	es
dc.relation.projectID	DMS 09-01040	es
dc.relation.projectID	N00014-08-1-0678	es
dc.relation.publisherversion	http://download.springer.com/static/pdf/67/art%253A10.1007%252Fs00205-016-0999-6.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00205-016-0999-6&token2=exp=1474613586~acl=%2Fstatic%2Fpdf%2F67%2Fart%25253A10.1007%25252Fs00205-016-0999-6.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00205-016-0999-6*~hmac=bdb0465868a557d687afebda4022792367511976bcfe400b3bef0d8b538b6713	es
dc.identifier.doi	10.1007/s00205-016-0999-6	es
dc.contributor.group	Universidad de Sevilla. FQM104: Analisis Matematico	es
idus.format.extent	26 p.	es
dc.journaltitle	Archive for Rational Mechanics and Analysis	es
dc.publication.volumen	222	es
dc.publication.issue	1	es
dc.publication.initialPage	213	es
dc.publication.endPage	243	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/45318

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