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arxiv: 1710.09546 · v1 · pith:NMZQO54Wnew · submitted 2017-10-26 · 🧮 math.AP

A sixth order flow of plane curves with boundary conditions

classification 🧮 math.AP
keywords boundaryconditionscurvesflowlinesordersixthconverge
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We show that small energy curves under a particular sixth order curvature flow with generalised Neumann boundary conditions between parallel lines converge exponentially in the smooth topology in infinite time to straight lines.

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