9 citations · 32 across the 12 of their papers we have counts for
3 papers · 1 filter
Optimal Shapes for Tree Roots
Alberto Bressan, Sondre T. Galtung, Qing Sun
The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure describing the distribution of root hair cells, we seek to maximize a…
On a Shape Optimization Problem for Tree Branches
Alberto Bressan, Sondre T. Galtung
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 c…
Competition Models for Plant Stems
Alberto Bressan, Sondre T. Galtung, Audun Reigstad +1
The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order…