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arXiv · 2006.01679

On a Shape Optimization Problem for Tree Branches

Alberto Bressan·Sondre T. Galtung
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Abstract

This 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 the trunk to all the leaves. In the case of 2 space dimensions, the solution is proved to be unique, and explicitly determined.

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BibTeXRIS

Alberto Bressan, Sondre T. Galtung. 2020-06-02. On a Shape Optimization Problem for Tree Branches. https://doi.org/10.3934/nhm.2020031

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