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Title:The Planar Triple Bubble Problem
Author(s):Wichiramala, Wacharin
Doctoral Committee Chair(s):Sullivan, John M.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract: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.
Issue Date:2002
Type:Text
Language:English
Description:123 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.
URI:http://hdl.handle.net/2142/86806
Other Identifier(s):(MiAaPQ)AAI3070474
Date Available in IDEALS:2015-09-28
Date Deposited:2002


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