Self-similar minimizers of a branched transport functional
Analysis of PDEs
2018-06-22 v2
Abstract
We solve here completely an irrigation problem from a Dirac mass to the Lebesgue measure. The functional we consider is a two dimensional analog of a functional previously derived in the study of branched patterns in type-I superconductors. The minimizer we obtain is a self-similar tree.
Keywords
Cite
@article{arxiv.1704.05342,
title = {Self-similar minimizers of a branched transport functional},
author = {Michael Goldman},
journal= {arXiv preprint arXiv:1704.05342},
year = {2018}
}
Comments
Indiana University Mathematics Journal, Indiana University Mathematics Journal, In press