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

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dc.creatorAlonso, Luis Martinez
dc.creatorMedina, E.
dc.date2007-10-19
dc.date.accessioned2026-07-07T08:37:22Z
dc.date.available2026-07-07T08:37:22Z
dc.descriptionCritical 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 tritronq'ee solution of the Painleve-I equation turns out to provide the leading term of the regularization
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0710.3731
dc.identifierhttp://arxiv.org/abs/0710.3731
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140376
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject35Q53
dc.titleRegularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation
dc.typetext

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