On a length preserving curve flow

By Li Ma, Anqiang Zhu. 2008

67 citations recorded by the source corpus.

In this paper, we consider a new length preserving curve flow for closed convex curves in the plane. We show that the flow exists globally, the area of the region bounded by the evolving curve is increasing, and the evolving curve converges to the circle in C∞ topology as t → ∞.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/825cbe5751d716772a576591eecd0e271df233cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Liang Cheng
2. Li Ma
3. Wenxiong CHEN *
4. Yihong Du
5. Congming LI #
6. Xiaohui Yu
7. Zongming Guo
8. Jean Van Schaftingen

In Mathematical Physics

1. Li Ma
2. Yihong Du
3. Zongming Guo
4. Xiaohui Yu

Citations in the corpus

• A non-local area preserving curve flow (2009, background): “Based on this, it is interesting study a non-local curve flow which preserves the length of the evolving curve.”