Evolving convex curves by a generalized length-preserving flow

Laiyuan Gao; Shengliang Pan

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Evolving convex curves by a generalized length-preserving flow

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arxiv 2012.11549 v2 pith:QIDT2KVF submitted 2020-12-21 math.DG math.AP

Laiyuan Gao , Shengliang Pan This is my paper · ORCID

classification math.DGmath.AP

keywords convexcurvesflowgeneralizedlength-preservingcirclesdealsdeforms

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This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity.

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