Generalizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge
Fluid Dynamics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.physics/0508039,
title = {Generalizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge},
author = {Irina Markina and Rodrigo Meneses and Alexander Vasil'ev},
journal= {arXiv preprint arXiv:physics/0508039},
year = {2007}
}
Comments
9 pages, 7 figures