Long time regularity of solutions of the
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Inwon Kim
📂
Article
📅
2006
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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