Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow

Theodora Bourni; Nathan Burns; Mat Langford

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arXiv · 2603.06949

Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow

Theodora Bourni·Nathan Burns·Mat Langford

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Abstract

We establish a sharp rate of convergence for a free-boundary curve shortening flow in a convex domain in $\mathbb{R}^{2}$ which converges in finite time to a round half-point.

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BibTeX RIS

Theodora Bourni, Nathan Burns, Mat Langford. 2026-03-06. Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow. https://arxiv.org/abs/2603.06949

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