A non-local area preserving curve flow

Details A non-local area preserving curve flow A non-local area preserving curve flow

2009-07-09

arxiv.org/abs/0907.1430v1

Mathematics

Differential Geometry

Scientific paper

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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