抄録
In our previous paper we proposed 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 and discussed global existence of spiral solutions to the proposed model. In this paper we extend the previous results for generalized crystalline curvature ow with a suitable tip motion. We show that solution curves never intersect a trajectory of a tip and has no self-intersections. We also show that any facet never disappear during time evolution. Finally we show a time-global existence of the spiral-shaped solu- tions.
本文言語 | English |
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ページ(範囲) | 881-888 |
ページ数 | 8 |
ジャーナル | Discrete and Continuous Dynamical Systems - Series S |
巻 | 8 |
号 | 5 |
DOI | |
出版ステータス | Published - 2015 10月 1 |
ASJC Scopus subject areas
- 分析
- 離散数学と組合せ数学
- 応用数学