Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615363 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
Abstract
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 Câ metric as time goes to infinity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Laiyuan Gao, Yiling Wang,