Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

研究成果: Article

4 引用 (Scopus)

抄録

This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.

元の言語English
ページ(範囲)717-726
ページ数10
ジャーナルDiscrete and Continuous Dynamical Systems- Series A
発行部数SUPPL.
出版物ステータスPublished - 2011 9

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Crystalline materials

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

これを引用

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abstract = "This paper deals with behavior of polygonal plane curves with two asymptotic lines by generalized crystalline curvature flow with a driving force. We show global existence of V-shaped solutions and investigate the deformation patterns of non-V-shaped solutions. We also show that non-V-shaped solutions become V-shaped in finite time.",
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