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VOL. 64 | 2015 The gradient flow for the modified one-dimensional Willmore functional defined on planar curves with infinite length
Shinya Okabe

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In this paper, we are interested in a motion of non-closed planar curves with infinite length. The motion is governed by a gradient flow for the modified one-dimensional Willmore functional. We shall prove a long time existence of solution of an initial boundary value problem for the flow.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1341.53102
MathSciNet: MR3381203

Digital Object Identifier: 10.2969/aspm/06410193

Subjects:
Primary: 35K55, 53C44

Rights: Copyright © 2015 Mathematical Society of Japan

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