dorsal/arxiv
View SchemaGeneralizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge
| Authors | Irina Markina, Rodrigo Meneses, Alexander Vasil'ev |
|---|---|
| Categories | |
| ArXiv ID | physics/0508039 |
| URL | https://arxiv.org/abs/physics/0508039 |
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.
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"abstract": "We consider a zero-surface-tension two-dimensional Hele-Shaw flow in an\ninfinite wedge. There exists a self-similar interface evolution in this wedge,\nan analogue of the famous Saffman-Taylor finger in a channel, exact shape of\nwhich has been given by Kadanoff. One of the main features of this evolution is\nits infinite time of existence and stability for the Hadamard ill-posed\nproblem. We derive several exact solutions existing infinitely by generalizing\nand perturbing the one by Kadanoff.",
"arxiv_id": "physics/0508039",
"authors": [
"Irina Markina",
"Rodrigo Meneses",
"Alexander Vasil\u0027ev"
],
"categories": [
"physics.flu-dyn"
],
"title": "Generalizations of Kadanoff\u0027s solution of the Saffman-Taylor problem in a wedge",
"url": "https://arxiv.org/abs/physics/0508039"
},
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"variant": "snapshot-2026-03-01",
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