Generalizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge

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dc.creatorMarkina, Irina
dc.creatorMeneses, Rodrigo
dc.creatorVasil'ev, Alexander
dc.date2005-08-05
dc.date.accessioned2026-07-07T05:55:38Z
dc.date.available2026-07-07T05:55:38Z
dc.descriptionWe consider a zero-surface-tension two-dimensional Hele-Shaw flow in an infinite wedge. There exists a self-similar interface evolution in this wedge, an analogue of the famous Saffman-Taylor finger in a channel, exact shape of which has been given by Kadanoff. One of the main features of this evolution is its infinite time of existence and stability for the Hadamard ill-posed problem. We derive several exact solutions existing infinitely by generalizing and perturbing the one by Kadanoff.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/physics/0508039
dc.identifierhttp://arxiv.org/abs/physics/0508039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87310
dc.subjectFluid Dynamics
dc.titleGeneralizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge
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