Abstract
In the absence of surface tension, the solution of most Hele-Shaw free-boundary problems with suction becomes singular at finite time, say t = t*, when the free boundary develops a cusp. This paper considers the evolution of the free boundary in the presence of small non-zero surface tension for times slightly greater than t*; the suggested structure for the free boundary is that of a smooth part together with thin fingers of air which rapidly penetrate the liquid region. © 1988 Oxford University Press.
| Original language | English |
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| Pages (from-to) | 183-193 |
| Number of pages | 11 |
| Journal | Quarterly Journal of Mechanics and Applied Mathematics |
| Volume | 41 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 1988 |