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arXiv · 1505.07435

A note on self-similar solutions of the curve shortening flow

Márcio Rostirolla Adames
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Abstract

This article gives an alternative approach to the self-shrinking and self-expanding solutions of the curve shortening flow, which are related to singularity formation of the mean curvature flow. The motivation for the self-similar solutions arises from natural area preserving rescaling. Further we describe the self-similar solutions in terms of a simple ODE and give an alternative proof that they lie in planes.

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Márcio Rostirolla Adames. 2015-05-27. A note on self-similar solutions of the curve shortening flow. https://arxiv.org/abs/1505.07435

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