Loss of convexity of simple closed curves moved by surface diffusion

作者: Yoshikazu Giga , Kazuo Ito

DOI: 10.1007/978-3-0348-8765-6_14

关键词: Simple (abstract algebra)Gravitational singularityConvex functionMathematicsConcave functionConvexitySurface diffusionMathematical analysis

摘要: We rigorously prove that there exists a simple, strictly convex, smooth closed curve which loses convexity but stays simple without developing singularities when it moves by its surface diffusion for short time.

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