The Planar Triple Bubble Problem

We prove the planar triple bubble conjecture that the standard triple bubble is the unique least-perimeter way to enclose and separate three regions of given areas. We also prove a bound on the number of convex components and a bound on the number of all components in any minimizing planar bubble.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Wichiramala, Wacharin

Contributors dc:contributor

• Sullivan, John M.

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3070474

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86806