林俊吉Lin, Chun-Chi張育瑋Chang, Yu-Wei2019-09-052016-08-292019-09-052016http://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.非延伸性彈性流彎曲能平面曲線InextensibilityElastic flowBending energyPlane curve