The Second-Order L 2-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane

Chun Chi Lin, Yang Kai Lue, Hartmut R. Schwetlick

研究成果: 雜誌貢獻文章同行評審

3 引文 斯高帕斯(Scopus)

摘要

In this article, we study the evolution of open inextensible planar curves with hinged ends. We obtain long time existence of C-smooth solutions during the evolution, given the initial curves that are only C2-smooth with vanishing curvature at the boundary. Moreover, the asymptotic limits of this flow are inextensible elasticae. Our method and result extend the work by Wen (Duke Math. J. 70(3):683–698, 1993).

原文英語
頁(從 - 到)263-291
頁數29
期刊Journal of Elasticity
119
發行號1-2
DOIs
出版狀態已發佈 - 2015 四月 1

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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