PHYSICAL MATHEMATICS SEMINAR TOPIC: RIPPLING INSTABILITY OF A COLLAPSING BUBBLE SPEAKER: RAVA DA SILVEIRA Harvard University ABSTRACT: Viscous liquid bubbles burst much slower that soap bubbles. For a high enough viscosity, a bubble bursts by collapsing under its own weight and folds into a wrinkled structure reminiscent of the eye's iris - an effect first observed by Debregeas, de Gennes, and Brochard-Wyart in 1998. In fact, such a \emph {rippling instability} occurs both for \emph {elastic} (solid) and \emph {viscous} (liquid) films. I shall present a simple theory for the elastic case, then extend it to the viscous case. Preliminary experimental results are in good agreement with the predictions, which differ from the outcome of a (more naive) scaling analysis. Indeed, the phenomenon is of an essentially \emph {geometric} nature, a key point which will be discussed in some detail DATE: TUESDAY, OCTOBER 24, 2000 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Room 2-349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139