TY - CHAP
T1 - The second-order L2-Flow of inextensible elastic curves with hinged ends in the plane
AU - Lin, Chun Chi
AU - Lue, Yang Kai
N1 - Publisher Copyright:
© Springer Science+Business Media Dordrecht 2015.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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).
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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U2 - 10.1007/978-94-017-7300-3
DO - 10.1007/978-94-017-7300-3
M3 - Chapter
AN - SCOPUS:84943328100
SN - 9789401772990
SP - 263
EP - 292
BT - The Mechanics of Ribbons and Möbius Bands
PB - Springer Netherlands
ER -