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.
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Figure 5.
If the set
Figure 8.
The thick portions of the curve
Figure 9.
Left: an irrigation plan for a measure
Figure 11.
Left: in the shaded region
Figure 12.
Changing the transport plan, when
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