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: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Mathematical Society
2023
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