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
Keywords:
modified one-dimensional Willmore functional
,
planar curve with infinite length
,
Steepest descent flow
Rights: Copyright © 2015 Mathematical Society of Japan
