Vol. 196, No. 2, 2000

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David Futer & Andrei Gnepp & David McMath & Brian A. Munson & Ting Ng & Sang-Hyoun Pahk & Cara Yoder

Abstract

We model interfaces between immiscible fluids as cost-minimizing networks, where “cost” is a weighted length. We consider conjectured necessary and suficient conditions for when a planar cone is minimizing. In some cases we give a proof; in other cases we provide a counterexample.

Authors
David Futer
University of Penn.
Andrei Gnepp
Harvard University
David McMath
Stanford University
Brian A. Munson
University of Oregon
Ting Ng
University of Penn.
Sang-Hyoun Pahk
Williams College
Cara Yoder
Williams College