Self-similar minimizers of a branched transport functional

Michael Goldman

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arXiv · 1704.05342

Self-similar minimizers of a branched transport functional

Michael Goldman

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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.

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Michael Goldman. 2017-04-18. Self-similar minimizers of a branched transport functional. https://arxiv.org/abs/1704.05342

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