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

Yu Chu Lin, Dong Ho Tsai, Xiao Liu Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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).

Original languageEnglish
Pages (from-to)817-845
Number of pages29
JournalJournal of Evolution Equations
Volume15
Issue number4
DOIs
Publication statusPublished - 2015 Dec 1

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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