Self-similarly expanding networks to curve shortening flow
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.math/0702698,
title = {Self-similarly expanding networks to curve shortening flow},
author = {Oliver C. Schnürer and Felix Schulze},
journal= {arXiv preprint arXiv:math/0702698},
year = {2007}
}
Comments
15 pages, 6 figures