応用数理
Online ISSN : 2432-1982
論文
クリスタライン運動の数理――空像変形現象と面積保存クリスタライン曲率流方程式
石渡 哲哉矢崎 成俊
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2018 年 28 巻 1 号 p. 3-10

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The framework of crystalline motion is explained. We introduced the defor-mation process of a vapor figure through Nakayaʼs experiment, and showed the area-preserving crystalline curvature flow could be regarded as a simple model of the process. We here mentioned two results: one is the “convexity phenomena” and the other is the asymptotic behavior “convergence to the Wul. shape”. These results lead us to understand the all deformation pro-cess of the vapor .gure and give the mathematical justi. cation of Nakayaʼs observation.

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© 2018日本応用数理学会
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