A Non-local Area Preserving Curve Flow

نویسندگان

  • LI MA
  • LIANG CHENG
چکیده

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∞ sense as time goes into infinity.

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تاریخ انتشار 2009