On some simple examples of non-parabolic curve flows in the plane

作者: Yu-Chu Lin , Dong-Ho Tsai , Xiao-Liu Wang

DOI: 10.1007/S00028-015-0282-6

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摘要: We discuss several examples of non-parabolic curve flows in the plane. In these flows, speed functions do not involve curvature at all. Although elementary nature, there are some interesting properties. particular, certain can be employed to evolve a convex closed become circular or non-convex eventually, like what we have seen classical shortening flow (parabolic flow) by Gage and Hamilton (J Differ Geom 23:69–96, 1986), Grayson 26:285–314, 1987).

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