Selfsimilar expanders of the harmonic map flow
Analysis of PDEs
2015-05-20 v1
Abstract
We study the existence, uniqueness, and stability of self-similar expanders of the harmonic map heat flow in equivariant settings. We show that there exist selfsimilar solutions to any admissiable initial data and that their uniqueness and stability properties are essentially determined by the energy-minimising properties of the so called equator maps.
Keywords
Cite
@article{arxiv.1010.6259,
title = {Selfsimilar expanders of the harmonic map flow},
author = {Pierre Germain and Melanie Rupflin},
journal= {arXiv preprint arXiv:1010.6259},
year = {2015}
}
Comments
34 pages