### 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 |

巻 | 25 |

発行部数 | 2 |

出版物ステータス | Published - 2008 6 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### これを引用

**Motion of non-convex polygons by crystalline curvature and almost convexity phenomena.** / Ishiwata, Tetsuya.

研究成果: Article

*Japan Journal of Industrial and Applied Mathematics*, 巻. 25, 番号 2, pp. 233-253.

}

TY - JOUR

T1 - Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

AU - Ishiwata, Tetsuya

PY - 2008/6

Y1 - 2008/6

N2 - 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.

AB - 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.

KW - Convexity phenomena

KW - Edge-disappearing

KW - Motion by crystalline curvature

KW - Non-convex polygon

UR - http://www.scopus.com/inward/record.url?scp=48249088009&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48249088009&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:48249088009

VL - 25

SP - 233

EP - 253

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

SN - 0916-7005

IS - 2

ER -