A non-local area preserving curve flow

By Li Ma, Liang Cheng. 2009

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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 $$C^{\infty }$$C∞ sense as time goes into infinity.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e35628d8f69576a645e7c28f3022b769aa310271