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

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)233-253
Number of pages21
JournalJapan Journal of Industrial and Applied Mathematics
Volume25
Issue number2
Publication statusPublished - 2008 Jun
Externally publishedYes

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Crystalline materials

Keywords

  • Convexity phenomena
  • Edge-disappearing
  • Motion by crystalline curvature
  • Non-convex polygon

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "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.",
keywords = "Convexity phenomena, Edge-disappearing, Motion by crystalline curvature, Non-convex polygon",
author = "Tetsuya Ishiwata",
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KW - Convexity phenomena

KW - Edge-disappearing

KW - Motion by crystalline curvature

KW - Non-convex polygon

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