Nonconvex ancient solutions to curve shortening flow
We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For t ≪ 0 it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle α(t) = −t, and closed off by a small copy of the Grim Reaper translating soliton.
Main Authors: | Zhang, Y, Olson, C, Khan, I, Angenent, S |
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格式: | Journal article |
语言: | English |
出版: |
American Mathematical Society
2023
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