Hollow vortices and minimal surfaces
Analysis of PDEs
2015-09-02 v1
Abstract
We consider an overdetermined elliptic problem known as the hollow vortex problem. We prove that the solutions to this problem are in 1:1 correspondence with minimal graphs bounded by horizontal symmetry lines. We use this correspondence to give various examples of domains with hollow vortices.
Cite
@article{arxiv.1407.5308,
title = {Hollow vortices and minimal surfaces},
author = {Martin Traizet},
journal= {arXiv preprint arXiv:1407.5308},
year = {2015}
}
Comments
22 pages, 7 figures