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I would like to ask, how could I derive a PDE that evolves a planar curve to a circle while preserving its length ? (The problem states that there is no need to show that the steady state is a circle, but there is a need to prove that the length is preserved). I'm rather new to this field and when presented with this problem, I really have no idea how to begin.

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    http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/12144399022012-02-28
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    Thanks! Will take a detailed reading of this article to see how the information inside will help!2012-03-01

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