Please use this identifier to cite or link to this item: http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101522
Title: Smoothness of Local Solutions for the 4th-Order Elastic Flow of Inextensible Plane Curves
Smoothness of Local Solutions for the 4th-Order Elastic Flow of Inextensible Plane Curves
Authors: 林俊吉
Lin, Chun-Chi
張育瑋
Chang, Yu-Wei
Keywords: 非延伸性
彈性流
彎曲能
平面曲線
Inextensibility
Elastic flow
Bending energy
Plane curve
Issue Date: 2016
Abstract: 無中文摘要
In this paper we establish the smooth short time existence of the inextensible elastic flow, provided that our initial plane curves is $C^{3+\alpha}$. We consider two cases of initial plane curves: closed curves and open curves with hinged end. The inextensible elastic flow of such plane curves correspond to semi-linear fourth-order parabolic equations.
URI: http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=%22http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060240004S%22.&%22.id.&
http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101522
Other Identifiers: G060240004S
Appears in Collections:學位論文

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