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arXiv · 2312.15005

The continuity of curvature flow in Fr\'echet distance

Shiyi Ma
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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.

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Shiyi Ma. 2023-12-15. The continuity of curvature flow in Fr\'echet distance. https://arxiv.org/abs/2312.15005

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