On a planar area-preserving curvature flow-Reference-Cited by-同舟云学术

On a planar area-preserving curvature flow

Published:2012-09-19 Issue:5 Volume:141 Page:1783-1789
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chao Xiao-Li,Ling Xiao-Ran,Wang Xiao-Liu

Abstract

A classical nonlocal curvature flow preserving the enclosed area is reinvestigated. The uniform upper bound and lower bound of curvature are established for the first time. As a result, a detailed proof is presented for the asymptotic behavior of the flow.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-05/S0002-9939-2012-11745-9/S0002-9939-2012-11745-9.pdf

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4. The Curve Shortening Problem

5. On an area-preserving evolution equation for plane curves;Gage, Michael,1986

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