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Regularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T04:00:20Z
dc.date.available2023-06-20T04:00:20Z
dc.date.issued2009-08-15
dc.description©2008 Elsevier Ltd. All rights reserved. The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their support.
dc.description.abstractCritical processes of ideal integrable models of Hele-Shaw flows are considered. A regularization method based on multiscaling expansions of solutions of the KdV and Toda hierarchies characterized by string equations is proposed. Examples are exhibited in which the tritronquee solution of the Painleve-I equation turns out to provide the leading term of the regularization.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministerio de Educación y Ciencia
dc.description.sponsorshipEuropean Science Foundation (MISGAM programme)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34238
dc.identifier.doi10.1016/j.chaos.2008.05.020
dc.identifier.issn0960-0779
dc.identifier.officialurlhttp://dx.doi.org/10.1016/j.chaos.2008.05.020
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.relatedurlhttp://arxiv.org/abs/0710.3731
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44793
dc.issue.number3
dc.journal.titleChaos solitons & Fractals
dc.language.isoeng
dc.page.final1293
dc.page.initial1284
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.projectIDFIS2005-00319
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordKorteweg-devries equation
dc.subject.keywordSmall dispersion limit
dc.subject.keywordIntegrable hierarchies
dc.subject.keywordGravity
dc.subject.keywordDynamics
dc.subject.keywordStrings
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleRegularization of Hele-Shaw flows, multiscaling expansions and the Painlevé I equation
dc.typejournal article
dc.volume.number41
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