Paper · Jan 27, 2024
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
As on arXiv
Abstract
We study the crystalline curvature flow of planar networks with a single hexagonal anisotropy. After proving the local existence of a classical solution for a rather large class of initial conditions, we classify the homothetically shrinking solutions having one bounded component. We also provide an example of network shrinking to a segment with multiplicity two.
Comments: 45 pages, 23 figures
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