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.
|ジャーナル||Discrete and Continuous Dynamical Systems- Series A|
|出版物ステータス||Published - 2011 9 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics