@article{4df6ee0f377541729f06e33878b9f5f9,
title = "The Second-Order L 2-Flow of Inextensible Elastic Curves with Hinged Ends in the Plane",
abstract = "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).",
keywords = "Elastic energy, Geometric flow, Hinged boundary conditions, Second-order parabolic equation, Willmore functional",
author = "Lin, {Chun Chi} and Lue, {Yang Kai} and Schwetlick, {Hartmut R.}",
note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",
year = "2015",
month = apr,
day = "1",
doi = "10.1007/s10659-015-9518-5",
language = "English",
volume = "119",
pages = "263--291",
journal = "Journal of Elasticity",
issn = "0374-3535",
publisher = "Springer Netherlands",
number = "1-2",
}