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.
|Number of pages||10|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|Publication status||Published - 2014 Feb 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics