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The spatial structure of bubble pinch-off

dc.contributor.authorFontelos, M. A.
dc.contributor.authorSnoeijer, J. H.
dc.contributor.authorEggers, J.
dc.contributor.otherUAM. Departamento de Matemáticases_ES
dc.date.accessioned2016-01-27T13:20:06Z
dc.date.available2016-01-27T13:20:06Z
dc.date.issued2011-09-22
dc.identifier.citationSIAM Journal on Applied Mathematics 71.5 (2011): 1696-1716en_US
dc.identifier.issn0036-1399es_ES
dc.identifier.urihttp://hdl.handle.net/10486/669455
dc.description.abstractWe have previously found [J. Eggers, M. A. Fontelos, D. Leppinen, and J. H. Snoeijer, Phys. Rev. Lett. , 98 (2007), 094502] that the pinch-off of a gas bubble in an inviscid environment iscontrolled by scaling exponents which are slowly varying in time. To leading order, these results didnot require the spatial profile of the interface near break-up. Here we refine our previous analysis bycomputing the entire shape of the neck. The neck shape is characterized by similarity functions thatare also slowly varying on a logarithmic scale. We compare these results to experiments and findagreement within the experimentally accessible range. More detailed confirmation of the asymptoticanalysis is provided by the excellent agreement with numerical simulations of the bubble pinch-offen_US
dc.description.sponsorshipThis author’s work was supported by a Marie Curie European Fellowship FP6 (MEIF-CT2006-025104).en_US
dc.format.extent22 pag.es_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.ispartofSIAM Journal on Applied Mathematicsen_US
dc.rights© 2011 Society for Industrial and Applied Mathematicsen_US
dc.subject.otherCapillary breakupen_US
dc.subject.otherFinite-time singularitiesen_US
dc.titleThe spatial structure of bubble pinch-offen_US
dc.typearticleen
dc.subject.ecienciaMatemáticases_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1137/090776470es_ES
dc.identifier.doi10.1137/090776470es_ES
dc.identifier.publicationfirstpage1696es_ES
dc.identifier.publicationissue5es_ES
dc.identifier.publicationlastpage1716es_ES
dc.identifier.publicationvolume71es_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.rights.accessRightsopenAccessen
dc.authorUAMFontelos López, Marco Antonio (261047)
dc.facultadUAMFacultad de Ciencias
dc.institutoUAMInstituto de Ciencias Matemáticas (ICMAT)


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