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25 April 2024
 
  » arxiv » physics/0508039

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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
AbstractWe 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
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