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Polynomial Solutions to the Hele–Shaw Problem

✍ Scribed by O. S. Kuznetsova


Book ID
110307990
Publisher
SP MAIK Nauka/Interperiodica
Year
2001
Tongue
English
Weight
187 KB
Volume
42
Category
Article
ISSN
0037-4466

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Long time regularity of solutions of the
✍ Inwon Kim 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 180 KB

In this paper we study the long-time behavior of solutions of the one phase Hele-Shaw problem without surface tension. We show that after a finite time solutions of the Hele-Shaw problem become starshaped and Lipschitz continuous in space. Based on this observation we then prove that the free bounda