PDE and differential geometry in study of motion of elastic wires

VOL. 47.2 | 2007 PDE and differential geometry in study of motion of elastic wires

Chapter Author(s) Norihito Koiso

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Adv. Stud. Pure Math., 2007: 441-450 (2007) DOI: 10.2969/aspm/04720441

Abstract

We study some PDE's of motion of elastic wires. These PDE's naturally require differential geometry. We mainly treat closed curves.

Published: 1 January 2007

First available in Project Euclid: 16 December 2018

MathSciNet: MR2387250

Digital Object Identifier: 10.2969/aspm/04720441

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Vol. 47.2 • 1 January 2007

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Mathematical Society of Japan