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A 2-dimensional shape optimization problem for tree branches

Published in Networks and Heterogeneous Media • Nov 4, 2020
NobleIDNI0P65W59R20S93
Authors:
Alberto Bressan
,
Sondre Tesdal Galtung

Abstract

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 solutio...

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