The continuity of curvature flow in Fr\'echet distance
Differential Geometry
2023-12-27 v1 Analysis of PDEs
Metric Geometry
Abstract
We study the evolution of a Jordan curve on the plane by curvature flow, also known as curve shortening flow, and by level-set flow, which is a weak formulation of curvature flow. We show that the evolution of the curve depends continuously on the initial curve in Fr\'echet distance.
Keywords
Cite
@article{arxiv.2312.15005,
title = {The continuity of curvature flow in Fr\'echet distance},
author = {Shiyi Ma},
journal= {arXiv preprint arXiv:2312.15005},
year = {2023}
}
Comments
11 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:2106.08907 by other authors