### Abstract

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 language | English |
---|---|

Pages (from-to) | 151-154 |

Number of pages | 4 |

Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |

Volume | 80 |

Issue number | 8 |

Publication status | Published - 2004 Oct |

Externally published | Yes |

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Japan Academy Series A: Mathematical Sciences*,

*80*(8), 151-154.

**Two examples of nonconvex self-similar solution curves for a crystalline curvature flow.** / Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi.

Research output: Contribution to journal › Article

*Proceedings of the Japan Academy Series A: Mathematical Sciences*, vol. 80, no. 8, pp. 151-154.

}

TY - JOUR

T1 - Two examples of nonconvex self-similar solution curves for a crystalline curvature flow

AU - Ishiwata, Tetsuya

AU - Ushijima, Takeo K.

AU - Yagisita, Hiroki

AU - Yazaki, Shigetoshi

PY - 2004/10

Y1 - 2004/10

N2 - 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.

AB - 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.

KW - Blow-up rate

KW - Crystalline curvature

KW - Curve shortening flow equation

KW - Nonconvex self-similar shrinking curve

UR - http://www.scopus.com/inward/record.url?scp=11144341471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11144341471&partnerID=8YFLogxK

M3 - Article

VL - 80

SP - 151

EP - 154

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

IS - 8

ER -