The Riemann problem at a junction for a phase transition traffic model
From MaRDI portal
Publication:2362299
DOI10.3934/dcds.2017225zbMath1407.35135OpenAlexW2579383125MaRDI QIDQ2362299
Mauro Garavello, Francesca Marcellini
Publication date: 7 July 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017225
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)
Related Items
Pareto-Optimal Coupling Conditions for the Aw--Rascle--Zhang Traffic Flow Model at Junctions ⋮ A Riemann solver at a junction compatible with a homogenization limit ⋮ Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node ⋮ Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic ⋮ Second-Order Traffic Flow Models on Networks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimization criteria for modelling intersections of vehicular traffic flow
- Modelling of motorway traffic to second order
- Free-congested and micro-macro descriptions of traffic flow
- The Aw-Rascle vehicular traffic flow model with phase transitions
- A General Phase Transition Model for Vehicular Traffic
- Coupling Conditions for a Class of Second-Order Models for Traffic Flow
- ROAD NETWORKS WITH PHASE TRANSITIONS
- Hyperbolic Phase Transitions in Traffic Flow
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- Resurrection of "Second Order" Models of Traffic Flow
- A mixed ODE–PDE model for vehicular traffic
- Traffic Flow on a Road Network Using the Aw–Rascle Model
- Traffic Flow on a Road Network
- Shock Waves on the Highway
- A Hybrid Lagrangian Model Based on the Aw–Rascle Traffic Flow Model
- A 2-Phase Traffic Model Based on a Speed Bound
- On kinematic waves II. A theory of traffic flow on long crowded roads
