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

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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.

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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