Evolving a Kirchhoff elastic rod without self-intersections

Chun-Chi Lin, Hartmut R. Schwetlick

研究成果: 雜誌貢獻文章


In this paper we study the problem on how to find an equilibrium state of a Kirchhoff elastic rod by evolving it in a certain way, called a geometric flow. The elastic energy of rods would decrease during the geometric flow. We show that rods remain smooth during the geometric flow as long as they stay embedded, e.g., self-penetrations do no occur. Furthermore, rods would approach an equilibrium configuration asymptotically if self-penetrations are avoided during the flow.

頁(從 - 到)748-768
期刊Journal of Mathematical Chemistry
出版狀態已發佈 - 2009 三月 1

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

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