Self-similar minimizers of a branched transport functional
Self-similar minimizers of a branched transport functional
复制标题
分支传输泛函的自相似最小化器
DOI：
10.1512/iumj.2020.69.7945
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发表时间：
2017
影响因子：
1.1
通讯作者：
M. Goldman
中科院分区：
文献类型：
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作者：
M. Goldman
我们在这里完全解决了从狄拉克质量到勒贝格度量的灌溉问题。我们考虑的泛函是以前在研究I型超导体中的分支图案时推导出的泛函的二维模拟。我们得到的极小子是一棵自相似树。
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.