3 papers
math.OC2020
Variational Problems for Tree Roots and Branches
Alberto Bressan, Michele Palladino, Qing Sun
This paper studies two classes of variational problems introduced in [7], related to the optimal shapes of tree roots and branches. Given a measure describing the distribution…
math.OC2019
Weighted Irrigation Plans
Alberto Bressan, Qing Sun
We model an irrigation network where lower branches must be thicker in order to support the weight of the higher ones. This leads to a countable family of ODEs, one for each branch…
math.OC2018
On the Optimal Shape of Tree Roots and Branches
Alberto Bressan, Qing Sun
This paper introduces two classes of variational problems, determining optimal shapes for tree roots and branches. Given a measure , describing the distribution of leaves, we in…