Classification of limiting shapes for isotropic curve flows

Andrews, Ben

doi:10.1090/S0894-0347-02-00415-0

Classification of limiting shapes for isotropic curve flows
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by Ben Andrews

J. Amer. Math. Soc. 16 (2003), 443-459

DOI: https://doi.org/10.1090/S0894-0347-02-00415-0

Published electronically: December 11, 2002

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Abstract:

A complete classification is given of curves in the plane which contract homothetically when evolved according to a power of their curvature. Applications are given to the limiting behaviour of the flows in various situations.

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