On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

研究成果: Article

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The behavior of polygonal curves with asymptotic lines to crys- talline motion with the bulk e ect is discussed. We show sufficient conditions for global existence of the solutions and characterize facet-extinction patterns. We also show the eventual monotonicity of shape of the solution curves, that is, the solutions become V-shaped in finite time.

元の言語English
ページ(範囲)865-873
ページ数9
ジャーナルDiscrete and Continuous Dynamical Systems - Series S
4
発行部数4
DOI
出版物ステータスPublished - 2011 8 1

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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