Classification of limiting shapes for isotropic curve flows
Author:
Ben Andrews
Journal:
J. Amer. Math. Soc. 16 (2003), 443-459
MSC (2000):
Primary 53C44; Secondary 35K55, 53A04
DOI:
https://doi.org/10.1090/S0894-0347-02-00415-0
Published electronically:
December 11, 2002
MathSciNet review:
1949167
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Ben Andrews
Affiliation:
Centre for Mathematics and its Applications, Australian National University, ACT 0200, Australia
MR Author ID:
317229
ORCID:
0000-0002-6507-0347
Email:
andrews@maths.anu.edu.au
Received by editor(s):
November 4, 2002
Published electronically:
December 11, 2002
Additional Notes:
Research supported by a grant from the Australian Research Council
Article copyright:
© Copyright 2002
American Mathematical Society