Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model

Cites Work

Approaching Chaplygin pressure limit of solutions to the Aw-Rascle model
Developing an Aw-Rascle model of traffic flow
A conditionally linearly stable second-order traffic model derived from a Vlasov kinetic description
Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
Delta-shocks and vacuums in zero-pressure gas dynamics by the flux approximation
Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
Shadow waves: Entropies and interactions for delta and singular shocks
Structural stability of the Riemann solution for a strictly hyperbolic system of conservation laws with flux approximation
Construction and simulation of a novel continuous traffic flow model
Dynamics of propagation and interaction of $\delta$-shock waves in conservation law systems
The Aw-Rascle traffic model with Chaplygin pressure
Delta shock waves in the shallow water system
The perturbed Riemann problem for a macroscopic production model with Chaplygin gas
Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity
The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field
Interaction of Dirac $\delta$-waves in the nonlinear Klein-Gordon equation
On the performance of HLL, HLLC, and Rusanov solvers for hyperbolic traffic models
Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow
Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure
Modelling road traffic accidents using macroscopic second-order models of traffic flow
Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II
Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
Interactions of Elementary Waves for the Aw–Rascle Model
The Riemann problem for the transportation equations in gas dynamics
Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
Resurrection of "Second Order" Models of Traffic Flow
The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term
Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model
The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term
DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
The Riemann problem for a traffic flow model on a road with variable widths
Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models
The transition of Riemann solutions of the modified Chaplygin gas equations with friction to the solutions of the Chaplygin gas equations

This page was built for publication: Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model