Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 53-62 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 Feb |
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics