A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function
DOI10.3934/nhm.2021004zbMath1473.65095OpenAlexW3121282146MaRDI QIDQ2040748
Rafael Ordoñez, Luis Miguel Villada, Christophe Chalons, Raimund Bürger
Publication date: 14 July 2021
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2021004
discontinuous fluxmulticlass traffic modelsystem of conservation lawsinvariant region principleLighthill-Whitham-Richards traffic model
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
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Cites Work
- Riemann solver for a kinematic wave traffic model with discontinuous flux
- Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models
- Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units
- Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling
- Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model
- A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking
- Conservation laws with discontinuous flux functions and boundary condition
- On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions
- On the approximation of the solutions of the Riemann problem for a discontinuous conservation law
- Solutions to a scalar discontinuous conservation law in a limit case of phase transitions
- On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux
- A splitting algorithm for LWR traffic models with flux discontinuous in the unknown
- A family of numerical schemes for kinematic flows with discontinuous flux
- A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway
- ON SCALAR HYPERBOLIC CONSERVATION LAWS WITH A DISCONTINUOUS FLUX
- A secular equation for the Jacobian matrix of certain multispecies kinematic flow models
- Hyperbolicity and kinematic waves of a class of multi-population partial differential equations
- Measure valued solutions to conservation laws motivated by traffic modelling
- Convergence of implicit Finite Volume methods for scalar conservation laws with discontinuous flux function
- A note on the weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
- Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
- Hyperbolic Phase Transitions in Traffic Flow
- An $n$ -populations model for traffic flow
- A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
- MULTI-DIMENSIONAL SCALAR CONSERVATION LAWS WITH FLUXES DISCONTINUOUS IN THE UNKNOWN AND THE SPATIAL VARIABLE
- An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model
- Conservation Laws with Discontinuous Flux Functions
- Shock Waves on the Highway
- Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill--Whitham--Richards Traffic Model
- A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Front tracking for hyperbolic conservation laws
