Hele-shaw free-boundary problems with suction

S. D. Howison, A. A. Lacey, J. R. Ockendon

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)183-193
Number of pages11
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume41
Issue number2
DOIs
Publication statusPublished - May 1988

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