In this article, we study the evolution of open inextensible planar curves with hinged ends. We obtain long time existence of Cš€-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. Ourmethod and result extend the work by Wen (Duke Math. J. 70(3):683.698, 1993).
ASJC Scopus subject areas
- Computer Science(all)
- Biochemistry, Genetics and Molecular Biology(all)