Evolving a Knotted Kirchhoff Elastic Rod

dc.contributor	林俊吉	zh_TW
dc.contributor	Lin, Chun-Chi	en_US
dc.contributor.author	陳柏宇	zh_TW
dc.contributor.author	Chen, Bo-Yu	en_US
dc.date.accessioned	2019-09-05T01:06:40Z
dc.date.available	2019-07-29
dc.date.available	2019-09-05T01:06:40Z
dc.date.issued	2019
dc.description.abstract	無中文摘要	zh_TW
dc.description.abstract	In this thesis, we study the problem on how to find an equilibrium configuration of a knotted Kirchhoff elastic rod by evolving it within the same knot class. The evolution is given by the $L^2$ gradient flow of the total energy composed of the Kirchhoff elastic energy and the Möbius knot energy. We would prove the long-time existence of smooth solutions for the gradient flow and discuss the asymptotic limit.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	G060540001S
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060540001S%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101580
dc.language	英文
dc.subject	Geometric flows	zh_TW
dc.subject	Fourth-order problem	zh_TW
dc.subject	Kirchhoff elastic rods	zh_TW
dc.subject	Gâteaux derivative of Möbius knot energy	zh_TW
dc.subject	Geometric flows	en_US
dc.subject	Fourth-order problem	en_US
dc.subject	Kirchhoff elastic rods	en_US
dc.subject	Gâteaux derivative of Möbius knot energy	en_US
dc.title	Evolving a Knotted Kirchhoff Elastic Rod	zh_TW
dc.title	Evolving a Knotted Kirchhoff Elastic Rod	en_US

Files

Now showing 1 - 1 of 1