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Multiple planar bubbles

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If you have a question about this talk, please contact Mustapha Amrani.

Foams and Minimal Surfaces

The planar soap bubble problem looks for the least-perimeter configuration of planar curves enclosing regions Ri of prescribed areas ai, with i=1,,n. It is known that these minimizing configurations satisfy Plateaus laws. However, in the most general setting, the regions in a minimizing configuration might not be connected, and so some area ai could be enclosed by a region Ri with several components. This is the main difficulty of this problem, since a lot of configurations have to be taken into account. In this talk, we will review the main results obtained for this problem, and discuss new directions for attacking it.

This talk is part of the Isaac Newton Institute Seminar Series series.

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