Evolving a convex closed curve to another one via a length-preserving linear flow

Yu Chu Lin, Dong Ho Tsai

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Motivated by a recent curvature flow introduced by Professor S.-T. Yau [S.-T. Yau, Private communication on his "Curvature Difference Flow", 2007], we use a simple curvature flow to evolve a convex closed curve to another one (under the assumption that both curves have the same length). We show that, under the evolution, the length is preserved and if the curvature is bounded above during the evolution, then an initial convex closed curve can be evolved to another given one.

Original languageEnglish
Pages (from-to)2620-2636
Number of pages17
JournalJournal of Differential Equations
Volume247
Issue number9
DOIs
Publication statusPublished - 2009 Nov 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Evolving a convex closed curve to another one via a length-preserving linear flow'. Together they form a unique fingerprint.

Cite this