The second-order L2-Flow of inextensible elastic curves with hinged ends in the plane

Chun Chi Lin; Yang Kai Lue

doi:10.1007/978-94-017-7300-3

The second-order L²-Flow of inextensible elastic curves with hinged ends in the plane

Chun Chi Lin^*
, Yang Kai Lue

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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).

Original language	English
Title of host publication	The Mechanics of Ribbons and Möbius Bands
Publisher	Springer Netherlands
Pages	263-292
Number of pages	30
ISBN (Electronic)	9789401773003
ISBN (Print)	9789401772990
DOIs	https://doi.org/10.1007/978-94-017-7300-3
Publication status	Published - 2016 Jan 1

ASJC Scopus subject areas

General Engineering
General Computer Science
General Biochemistry,Genetics and Molecular Biology

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AB - 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).

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The second-order L²-Flow of inextensible elastic curves with hinged ends in the plane

Abstract

ASJC Scopus subject areas

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