Jellyfish exist

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ben Andrews, Glen E Wheeler
DOI: 10.48550/arxiv.2601.21227
Cited by: 0

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Nonlinear Partial Differential Equations

Publication details

Journal / source
arXiv (Cornell University)
Publication date
29 January 2026
Document type
Preprint