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

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We 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.
9 pages, 7 figures

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Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/87310

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0508039
 http://arxiv.org/abs/physics/0508039

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arXiv