Deforming convex curves with fixed elastic energy

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:427

Article

Gao, Laiyuan¹  Wang, Yiling² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

关键词: Convex curves;    Nonlocal flow;    Elastic energy;   

DOI  :  10.1016/j.jmaa.2015.02.053

来源: Elsevier

【 摘 要 】

This paper presents a curve flow which preserves the elastic energy of the evolving curve. If the initial curve is a planar, simple and smooth curve with positive curvature then the local and global existence of the flow is proved. Under this flow, the evolving curve will converge to a finite circle in the C-infinity metric as time goes to infinity. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free