10 citations · 27 across the 13 of their papers we have counts for
4 papers · 1 filter
Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone +2
In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises…
A measure model for the spread of viral infections with mutations
Xiaoqian Gong, Benedetto Piccoli
Genetic variations in the COVID-19 virus are one of the main causes of the COVID-19 pandemic outbreak in 2020 and 2021. In this article, we aim to introduce a new type of model, a…
Mean-field limit of a hybrid system for multi-lane multi-class traffic
Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-dr…
Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law
Xiaoqian Gong, Matthias Kawski
We revisit a well-established model for highly re-entrant semi-conductor manufacturing systems, and analyze it in the setting of states, in- and outfluxes being Borel measures. Thi…