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)

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 languageEnglish
Pages (from-to)151-154
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume80
Issue number8
Publication statusPublished - 2004 Oct
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 80, No. 8, 10.2004, p. 151-154.

Research output: Contribution to journalArticle

@article{2313a0eb68dd4c17aba062c4ddb68e16,
title = "Two examples of nonconvex self-similar solution curves for a crystalline curvature flow",
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.",
keywords = "Blow-up rate, Crystalline curvature, Curve shortening flow equation, Nonconvex self-similar shrinking curve",
author = "Tetsuya Ishiwata and Ushijima, {Takeo K.} and Hiroki Yagisita and Shigetoshi Yazaki",
year = "2004",
month = "10",
language = "English",
volume = "80",
pages = "151--154",
journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",
issn = "0386-2194",
publisher = "Japan Academy",
number = "8",

}

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 -