A 2-dimensional shape optimization problem for tree branches
Peer reviewed, Journal article
Accepted version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2730528Utgivelsesdato
2020Metadata
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- Institutt for matematiske fag [2532]
- Publikasjoner fra CRIStin - NTNU [38672]
Sammendrag
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.