Preprint

Inserted: 27 jan 2024
Last Updated: 27 jan 2024

Year: 2024

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.

Tags: GeMeThNES
, GeoMeG
Keywords: crystalline curvature, anisotropy, network, partition, crystalline curvature flow

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• multiphase.pdf