Advanced Search
Home > Journals > Proc. Japan Acad. Ser. A Math. Sci. > Volume 80 > Issue 8 > Article
Open Access
Oct. 2004 Two examples of nonconvex self-similar solution curves for a crystalline curvature flow
Tetsuya Ishiwata, Takeo K. Ushijima, Hiroki Yagisita, Shigetoshi Yazaki
Proc. Japan Acad. Ser. A Math. Sci. 80(8): 151-154 (Oct. 2004). DOI: 10.3792/pjaa.80.151

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.

Citation

Download Citation

Tetsuya Ishiwata. Takeo K. Ushijima. Hiroki Yagisita. Shigetoshi Yazaki. "Two examples of nonconvex self-similar solution curves for a crystalline curvature flow." Proc. Japan Acad. Ser. A Math. Sci. 80 (8) 151 - 154, Oct. 2004. https://doi.org/10.3792/pjaa.80.151

Information

Published: Oct. 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1077.53054
MathSciNet: MR2099341
Digital Object Identifier: 10.3792/pjaa.80.151

Subjects:
Primary: 53A04
Secondary: 34A34 , 74N05

Keywords: blow-up rate , crystalline curvature , curve shortening flow equation , nonconvex self-similar shrinking curve

Rights: Copyright © 2004 The Japan Academy

JOURNAL ARTICLE
 4 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
GET CITATION
Next Article >
Vol.80 • No. 8 • Oct. 2004
The Japan Academy
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top