91 citations · 512 across the 65 of their papers we have counts for
4 papers · 1 filter
On Traffic Flow with Nonlocal Flux: a Relaxation Representation
Alberto Bressan, Wen Shen
We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density ahead. The averaging kernel is of expo…
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…
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…
Globally Optimal Departure Rates for Several Groups of Drivers
Alberto Bressan, Yucong Huang
The first part of this paper contains a brief introduction to conservation law models of traffic flow on a network of roads. Globally optimal solutions and Nash equilibrium solutio…