The elastic flow of curves in the hyperbolic plane
Analysis of PDEs
2017-10-27 v1
Abstract
We consider closed curves in the hyperbolic space moving by the -gradient flow of the elastic energy and prove well-posedness and long time existence. Under the additional penalisation of the length we show subconvergence to critical points. A motivation for the study of this flow is given by the relation between elastic curves in the hyperbolic plane and Willmore surfaces of revolution.
Keywords
Cite
@article{arxiv.1710.09600,
title = {The elastic flow of curves in the hyperbolic plane},
author = {Anna Dall'Acqua and Adrian Spener},
journal= {arXiv preprint arXiv:1710.09600},
year = {2017}
}
Comments
40 pages, submitted to Communications in Analysis and Geometry