The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension
In the paper, we consider the two-dimensional Muskat problem without surface tension on a free boundary. The initial shape of the unknown interface has a corner point. We prove that the problem has a unique solution in the weighted Hölder classes locally in time and specify the sufficient conditions...
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| Datum: | 2014 |
|---|---|
| Hauptverfasser: | Bazaliy, B.V., Vasylyeva, N. |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106784 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension / B.V. Bazaliy, N. Vasylyeva // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 3-43. — Бібліогр.: 31 назв. — англ. |
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