Abstract
We show the existence of noncircular, self-similar solutions to the three-dimen\-sional Hele--Shaw suction problem with surface tension regularisation up to complete extinction. In an appropriate scaling, these solutions are found as bifurcation solutions to a nonlocal elliptic equation of order three. The bifurcation parameter is the ratio of the suction speed and the surface tension coefficient.
| Original language | English |
|---|---|
| Pages (from-to) | 183-188 |
| Journal | Zeitschrift für Analysis und Ihre Anwendungen |
| Volume | 28 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 |
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