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Long time regularity of solutions of the Hele–Shaw problem

✍ Scribed by Inwon Kim

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
180 KB
Volume
64
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 boundary become smooth in space and time with nondegenerate free boundary speed.

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