A 2-dimensional shape optimization problem for tree branches (Q2040868)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A 2-dimensional shape optimization problem for tree branches |
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A 2-dimensional shape optimization problem for tree branches (English)
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14 July 2021
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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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shape optimization
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sunlight functional
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branched transport
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