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arXiv Open Access 2022

Nonconvex ancient solutions to Curve Shortening Flow

Yongzhe Zhang Connor Olson Ilyas Khan Sigurd Angenent
Lihat Sumber

Abstrak

We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For $t\ll0$ 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.

Topik & Kata Kunci

math.DG math.AP

Penulis (4)

Y

Yongzhe Zhang

C

Connor Olson

I

Ilyas Khan

S

Sigurd Angenent

Format Sitasi

APA MLA BibTeX
Zhang, Y., Olson, C., Khan, I., Angenent, S. (2022). Nonconvex ancient solutions to Curve Shortening Flow. https://arxiv.org/abs/2204.05253

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2022
Bahasa
en
Sumber Database
arXiv
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Open Access ✓