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On flows that preserve parallel curves and their formation of singularities

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Abstract

We discuss several examples of curvature flows for convex closed plane curves that preserve parallel curves and use this property to find singularities (curvature blow-up) of these flows. A precise curvature blow-up rate is also obtained.

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  1. Department of Mathematics, National Tsing Hua University, Hsinchu, 300, Taiwan

    Dong-Ho Tsai

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  1. Dong-Ho Tsai
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Correspondence to Dong-Ho Tsai.

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Tsai, DH. On flows that preserve parallel curves and their formation of singularities. J. Evol. Equ. 18, 303–321 (2018). https://doi.org/10.1007/s00028-017-0402-6

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  • DOI: https://doi.org/10.1007/s00028-017-0402-6

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