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arXiv · 1503.05814

The area preserving curve shortening flow with Neumann free boundary conditions

Elena Mäder-Baumdicker
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Abstract

We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.

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Elena Mäder-Baumdicker. 2015-03-19. The area preserving curve shortening flow with Neumann free boundary conditions. https://arxiv.org/abs/1503.05814

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