Please use this identifier to cite or link to this item: http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101580
Title: Evolving a Knotted Kirchhoff Elastic Rod
Evolving a Knotted Kirchhoff Elastic Rod
Authors: 林俊吉
Lin, Chun-Chi
陳柏宇
Chen, Bo-Yu
Keywords: Geometric flows
Fourth-order problem
Kirchhoff elastic rods
Gâteaux derivative of Möbius knot energy
Geometric flows
Fourth-order problem
Kirchhoff elastic rods
Gâteaux derivative of Möbius knot energy
Issue Date: 2019
Abstract: 無中文摘要
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.
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=%22G060540001S%22.&%22.id.&
http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101580
Other Identifiers: G060540001S
Appears in Collections:學位論文

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