Mathematics of Crystalline Motion

Abstract

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.