Smoothness of Local Solutions for the 4th-Order Elastic Flow of Inextensible Plane Curves

dc.contributor	林俊吉	zh_TW
dc.contributor	Lin, Chun-Chi	en_US
dc.contributor.author	張育瑋	zh_TW
dc.contributor.author	Chang, Yu-Wei	en_US
dc.date.accessioned	2019-09-05T01:05:32Z
dc.date.available	2016-08-29
dc.date.available	2019-09-05T01:05:32Z
dc.date.issued	2016
dc.description.abstract	無中文摘要	zh_TW
dc.description.abstract	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.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	G060240004S
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060240004S%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101522
dc.language	英文
dc.subject	非延伸性	zh_TW
dc.subject	彈性流	zh_TW
dc.subject	彎曲能	zh_TW
dc.subject	平面曲線	zh_TW
dc.subject	Inextensibility	en_US
dc.subject	Elastic flow	en_US
dc.subject	Bending energy	en_US
dc.subject	Plane curve	en_US
dc.title	Smoothness of Local Solutions for the 4th-Order Elastic Flow of Inextensible Plane Curves	zh_TW
dc.title	Smoothness of Local Solutions for the 4th-Order Elastic Flow of Inextensible Plane Curves	en_US

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