Self-similarly expanding networks to curve shortening flow

Details Self-similarly expanding networks to curve shortening flow Self-similarly expanding networks to curve shortening flow

2007-02-23

arxiv.org/abs/math/0702698v1

Mathematics

Differential Geometry

15 pages, 6 figures

Scientific paper

We consider a network in the Euclidean plane that consists of three distinct
half-lines with common start points. From that network as initial condition,
there exists a network that consists of three curves that all start at one
point, where they form 120 degree angles, and expands homothetically under
curve shortening flow. We also prove uniqueness of these networks.

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