On a Shape Optimization Problem for Tree Branches
Optimization and Control
2021-04-23 v1
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.
Cite
@article{arxiv.2006.01679,
title = {On a Shape Optimization Problem for Tree Branches},
author = {Alberto Bressan and Sondre T. Galtung},
journal= {arXiv preprint arXiv:2006.01679},
year = {2021}
}
Comments
23 pages, 10 figures