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Generalizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge | Irina Markina
; Rodrigo Meneses
; Alexander Vasil’ev
; | Date: |
5 Aug 2005 | Subject: | Fluid Dynamics | physics.flu-dyn | Abstract: | 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. | Source: | arXiv, physics/0508039 | Services: | Forum | Review | PDF | Favorites |
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