6 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
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…
Irrigable Measures for Weighted Irrigation Plans
Qing Sun
A model of irrigation network, where lower branches must be thicker in order to support the weight of the higher ones, was recently introduced in BSUN2 [4]. This leads to a countab…
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…
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…