Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Goldman

Self-similar minimizers of a branched transport functional

created by goldman on 10 Apr 2017
modified on 14 Sep 2017

[BibTeX]

Submitted Paper

Inserted: 10 apr 2017
Last Updated: 14 sep 2017

Year: 2017

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1