We study a model of vehicular traffic flow, represented by a coupled system formed by a
scalar conservation law, describing the evolution of cars density, and an ODE, whose …

The control of traffic flow can be related to different applications. In this work, a method to
manage variable speed limits combined with coordinated ramp metering within the …

We consider a strongly coupled PDE-ODE system modeling the influence of a slow and
large vehicle on road traffic. The model consists of a scalar conservation law describing the …

Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …

We introduce a second order model for traffic flow with moving bottlenecks. The model
consists of the 2× 2 Aw-Rascle-Zhang system with a point-wise flow constraint whose …

In this paper we introduce a numerical method for tracking a bus trajectory on a road
network. The mathematical model taken into consideration is a strongly coupled PDE-ODE …

We consider a strongly coupled ODE-PDE system representing moving bottlenecks
immersed in vehicular traffic. The systems can be used to represent the effect of autonomous …

We consider a stronglycoupled PDE-ODE systemthat describes themoving bottlenecks
created by several buses on a road. The model consists of a scalar conservation law …

We consider a model describing the presence of a platoon of vehicles moving in the traffic
flow. The model consists of a coupled PDE-ODE system describing the interaction between …

In this paper, we discuss a numerical approach for the simulation of a model for supply
chains based on both ordinary and partial differential equations. Such a methodology …