A Note on Self-Similar Solutions of the Curve Shortening

Authors

  • Márcio Adames

DOI:

https://doi.org/10.5540/03.2017.005.01.0022

Keywords:

Curve Shortening Flow, Abresch & Langer Curves, Planar Solutions.

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. 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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Published

2017-04-14

Issue

Section

Trabalhos Completos - Análise Aplicada