论文标题
关于树枝的形状优化问题
On a Shape Optimization Problem for Tree Branches
论文作者
论文摘要
本文涉及一个形状优化问题，其中最大化的功能描述了通过树叶的分布收集的总阳光，减去从树干的底部运输水和营养成本到所有叶子。在2个空间尺寸的情况下，该解决方案被证明是唯一的，并且明确确定。
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.
