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

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

doi:10.3792/pjaa.80.151

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 journal › Article › peer-review

10 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 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
DOIs	https://doi.org/10.3792/pjaa.80.151
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)

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10.3792/pjaa.80.151

Cite this

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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 = oct,

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language = "English",

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journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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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

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AN - SCOPUS:11144341471

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

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

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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