Migrating elastic flows
Analysis of PDEs
2024-04-18 v2 Numerical Analysis
Differential Geometry
Numerical Analysis
Abstract
Huisken's problem asks whether there is an elastic flow of closed planar curves that is initially contained in the upper half-plane but `migrates' to the lower half-plane at a positive time. Here we consider variants of Huisken's problem for open curves under the natural boundary condition, and construct various migrating elastic flows both analytically and numerically.
Keywords
Cite
@article{arxiv.2303.12516,
title = {Migrating elastic flows},
author = {Tomoya Kemmochi and Tatsuya Miura},
journal= {arXiv preprint arXiv:2303.12516},
year = {2024}
}
Comments
17 pages, 10 figures