Multiple planar bubbles
Seminar Room 1, Newton Institute
AbstractThe 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 Plateau’s 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.
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