Abstract
This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.
| Original language | English |
|---|---|
| Pages (from-to) | 717-726 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Issue number | SUPPL. |
| Publication status | Published - 2011 Sept 1 |
Keywords
- Eventual monotonicity
- Motion by crystalline curvature
- Polygonal curves
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics