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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

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
Published electronically: December 11, 2002
MathSciNet review: 1949167
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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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Additional Information

Ben Andrews
Affiliation: Centre for Mathematics and its Applications, Australian National University, ACT 0200, Australia
Email: andrews@maths.anu.edu.au

DOI: http://dx.doi.org/10.1090/S0894-0347-02-00415-0
PII: S 0894-0347(02)00415-0
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