Self-similar minimizers of a branched transport functional

Michael Goldman

doi:10.1512/iumj.2020.69.7919

Self-similar minimizers of a branched transport functional

Michael Goldman

Laboratoire de Probabilités et Modèles Aléatoires

Research output: Contribution to journal › Article › peer-review

Abstract

We solve here completely an irrigation problem from a Dirac mass to the Lebesgue measure for 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.

Original language	English
Pages (from-to)	1073-1104
Number of pages	32
Journal	Indiana University Mathematics Journal
Volume	69
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2020.69.7919
Publication status	Published - 1 Jan 2020
Externally published	Yes

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title = "Self-similar minimizers of a branched transport functional",

abstract = "We solve here completely an irrigation problem from a Dirac mass to the Lebesgue measure for 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.",

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Self-similar minimizers of a branched transport functional

Abstract

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