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arXiv · 1711.08872

Affine Self-similar solutions of the affine curve shortening flow I: The degenerate case

Chengjie Yu·Feifei Zhao
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Abstract

In this paper, we consider affine self-similar solutions for the affine curve shortening flow in the Euclidean plane. We obtain the equations of all affine self-similar solutions up to affine transformations and solve the equations or give descriptions of the solutions for the degenerate case. Some new special solutions for the affine curve shortening flow are found.

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Chengjie Yu, Feifei Zhao. 2017-11-24. Affine Self-similar solutions of the affine curve shortening flow I: The degenerate case. https://arxiv.org/abs/1711.08872

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