Self-similar minimizers of a branched transport functional

2017/04/18 by Michaël Goldman, Goldman, Michael · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Topological Materials and Phenomena

paper · doi:10.48550/arxiv.1704.05342

openalex publication_date 2017/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• A Γ-convergence result for 2D type-I superconductors

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