On a flow to untangle elastic knots

Chun-Chi Lin, Hartmut R. Schwetlick

研究成果: 雜誌貢獻文章

3 引文 斯高帕斯(Scopus)

摘要

In this paper we present a method to untangle smooth knots by a gradient flow for a suitable energy. We show that the flow of smooth initial knots remains smooth for all time and approaches asymptotically an "optimal embedding" in its isotopy type. The method is to set up a gradient flow for the total energy of knots, which consists of bending energy and the Möbius energy of knots.

原文英語
頁(從 - 到)621-647
頁數27
期刊Calculus of Variations and Partial Differential Equations
39
發行號3
DOIs
出版狀態已發佈 - 2010 四月 13

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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