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arXiv · 0907.1430

A non-local area preserving curve flow

Li Ma·Liang Cheng
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Abstract

In this paper, we consider a kind of area preserving non-local flow for convex curves in the plane. We show that the flow exists globally, the length of evolving curve is non-increasing, and the curve converges to a circle in C^{\infty} sense as time goes into infinity.

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Li Ma, Liang Cheng. 2012-11-28. A non-local area preserving curve flow. https://arxiv.org/abs/0907.1430

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