Crystalline motion of spiral-shaped polygonal curves with a tip motion

研究成果: Article

4 引用 (Scopus)

抜粋

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.

元の言語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
7
発行部数1
DOI
出版物ステータスPublished - 2014 2 1

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ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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