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arxiv: 0908.2036 · v2 · submitted 2009-08-14 · 🧮 math.AP · math.DG

The blow up analysis of the general curve shortening flow

classification 🧮 math.AP math.DG
keywords curveflowgeneralshorteninganalysisasymptoticbehaviorblow
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It is shown that the curvature function satisfies a nonlinear evolution equation under the general curve shortening flow and a detailed asymptotic behavior of the closed curves is presented when they contract to a point in finite time.

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