On some simple examples of non-parabolic curve flows in the plane

Yu Chu Lin, Dong Ho Tsai, Xiao Liu Wang

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

We discuss several examples of non-parabolic curve flows in the plane. In these flows, the speed functions do not involve the curvature at all. Although elementary in nature, there are some interesting properties. In particular, certain non-parabolic flows can be employed to evolve a convex closed curve to become circular or to evolve a non-convex curve to become convex eventually, like what we have seen in the classical curve shortening flow (parabolic flow) by Gage and Hamilton (J Differ Geom 23:69–96, 1986), Grayson (J Differ Geom 26:285–314, 1987).

原文English
頁(從 - 到)817-845
頁數29
期刊Journal of Evolution Equations
15
發行號4
DOIs
出版狀態Published - 2015 12月 1

All Science Journal Classification (ASJC) codes

  • 數學(雜項)

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