Two examples of nonconvex self-similar solution curves for a crystalline curvature flow

Tetsuya Ishiwata, Takeo K. Ushijima, Hiroki Yagisita, Shigetoshi Yazaki

Research output: Contribution to journalArticle

8 Citations (Scopus)


This note gives examples of nonconvex self-similar solutions for a crystalline curvature flow with an interfacial energy of which the Wulff shape is a regular triangle or a square.

Original languageEnglish
Pages (from-to)151-154
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Issue number8
Publication statusPublished - 2004 Oct



  • Blow-up rate
  • Crystalline curvature
  • Curve shortening flow equation
  • Nonconvex self-similar shrinking curve

ASJC Scopus subject areas

  • Mathematics(all)

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