Nonexistence of solutions to Hele-Shaw equations
β Scribed by Ming Fang; R.P. Gilbert
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 182 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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## Abstract This paper concerns analyticity of a classical steadily translating finger in a HeleβShaw cell and nonexistence of solutions when relative finger width Ξ» is smaller than Β½. It is proved that any classical solution to the finger problem, if it exists for sufficiently small but nonzero su
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