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Stability of self-similar extinction solutions for a 3D Darcy flow suction problem
Published online by Cambridge University Press: 01 August 2009
Abstract
We present a stability result for a class of non-trivial self-similarly vanishing solutions to a 3D Hele-Shaw moving boundary problem with surface tension and single-point suction. These solutions are domains that bifurcate from the trivial spherical solution. The moving domains have a geometric centre located at the suction point and they are axially symmetric. We show stability with respect to perturbations that preserve these properties.
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- Copyright © Cambridge University Press 2009
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