### 摘要

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.

原文 | 英語 |
---|---|

頁（從 - 到） | 748-768 |

頁數 | 21 |

期刊 | Journal of Mathematical Chemistry |

卷 | 45 |

發行號 | 3 |

DOIs | |

出版狀態 | 已發佈 - 2009 三月 1 |

### ASJC Scopus subject areas

- Chemistry(all)
- Applied Mathematics

## 指紋 深入研究「Evolving a Kirchhoff elastic rod without self-intersections」主題。共同形成了獨特的指紋。

## 引用此

Lin, C-C., & Schwetlick, H. R. (2009). Evolving a Kirchhoff elastic rod without self-intersections.

*Journal of Mathematical Chemistry*,*45*(3), 748-768. https://doi.org/10.1007/s10910-008-9383-6