On a flow to untangle elastic knots

Chun Chi Lin*, Hartmut R. Schwetlick

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

6 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

ASJC Scopus subject areas

  • 分析
  • 應用數學

指紋

深入研究「On a flow to untangle elastic knots」主題。共同形成了獨特的指紋。

引用此