English

Jellyfish exist

Differential Geometry 2026-01-30 v1 Analysis of PDEs

Abstract

We show the existence of infinitely many geometrically distinct homothetic expanders (jellyfish) for the elastic flow, epicyclic shrinkers for the curve diffusion flow, and epicyclic expanders for the ideal flow.

Keywords

Cite

@article{arxiv.2601.21227,
  title  = {Jellyfish exist},
  author = {Ben Andrews and Glen Wheeler},
  journal= {arXiv preprint arXiv:2601.21227},
  year   = {2026}
}

Comments

44 pages, 5 figures

R2 v1 2026-07-01T09:24:57.176Z