A mixed ODE–PDE model for vehicular traffic
From MaRDI portal
Publication:5259835
DOI10.1002/mma.3146zbMath1320.35209arXiv1402.5097OpenAlexW3103762966MaRDI QIDQ5259835
Francesca Marcellini, Rinaldo M. Colombo
Publication date: 29 June 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5097
Related Items (12)
The Riemann problem at a junction for a phase transition traffic model ⋮ Entropy solutions for a traffic model with phase transitions ⋮ Existence of solutions to a boundary value problem for a phase transition traffic model ⋮ Boundary coupling of microscopic and first order macroscopic traffic models ⋮ Tuned communicability metrics in networks. The case of alternative routes for urban traffic ⋮ On the Microscopic Modeling of Vehicular Traffic on General Networks ⋮ ODE-PDE models in traffic flow dynamics ⋮ The follow-the-leader model without a leader: an infinite-dimensional Cauchy problem ⋮ Microscopic and macroscopic models for coupled car traffic and pedestrian flow ⋮ Properties of the LWR model with time delay ⋮ Traffic Reconstruction Using Autonomous Vehicles ⋮ Estimate of traffic emissions through multiscale second order models with heterogeneous data
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Viscosity solutions and standard Riemann semigroup for conservation laws with boundary
- On the initial boundary value problem for Temple systems
- On fluido-dynamic models for urban traffic
- COUPLING OF MICROSCOPIC AND MACROSCOPIC TRAFFIC MODELS AT BOUNDARIES
- A Rigorous Treatment of a Follow-the-Leader Traffic Model with Traffic Lights Present
- A Hölder continuous ODE related to traffic flow
- Explicit formula for scalar non‐linear conservation laws with boundary condition
- Resurrection of "Second Order" Models of Traffic Flow
- A 2-Phase Traffic Model Based on a Speed Bound
- On kinematic waves II. A theory of traffic flow on long crowded roads
This page was built for publication: A mixed ODE–PDE model for vehicular traffic
