Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

研究成果: Article

12 引用 (Scopus)

抄録

The behavior of solution polygons to generalized crystalline curvature flow is discussed. The conditions to guarantee that the solution polygon keeps its admissibility as long as enclosed area of solution polygon is positive are clarified. We also show that the solution polygon becomes "almost convex" before the extinction time.

元の言語English
ページ(範囲)233-253
ページ数21
ジャーナルJapan Journal of Industrial and Applied Mathematics
25
発行部数2
出版物ステータスPublished - 2008 6
外部発表Yes

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Crystalline materials

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用

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KW - Edge-disappearing

KW - Motion by crystalline curvature

KW - Non-convex polygon

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