A 2-dimensional shape optimization problem for tree branches
Peer reviewed, Journal article
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Original versionNetworks and Heterogeneous Media. 2020, . 10.3934/nhm.2020031
The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient from the base of trunk to all the leaves. In a 2-dimensional setting, the solution is proved to be unique and explicitly determined.