抄録
In this paper we propose a crystalline motion of spiral-shaped polygonal curves with a tip motion as a simple model of a step motion on a crystal surface under screw dislocation. We give a tip motion and discuss the behavior of the solution curves by crystalline curvature flow with a driving force. We show that the solution curve belongs to a suitable class of spiral- shaped curves and also show a time-global existence of the spiral-shaped solutions.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 53-62 |
| ページ数 | 10 |
| ジャーナル | Discrete and Continuous Dynamical Systems - Series S |
| 巻 | 7 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 2014 2月 |
ASJC Scopus subject areas
- 分析
- 離散数学と組合せ数学
- 応用数学