This paper takes into account three regimes for the description of traffic dynamics, which
include the introduction of a pseudo-density transformed from the velocity, the pressure as a …

The anisotropic property of traffic flow has brought much discussion about some existing
traffic flow models and diverging views on the further development of traffic flow theories …

In the present paper a review and numerical comparison of a special class of multi-phase
traffic theories based on microscopic, kinetic and macroscopic traffic models is given …

This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic
flow model in which the dimensionless parameter or anisotropic factor controls the non …

The hybrid traffic flow model, coupling a microscopic (vehicle-based) and a macroscopic
(flow-based) representation of traffic flow, may be a useful tool to better understand the …

This note contributes to the discussion on the current state and the prospectives of
macroscopic traffic flow modelling. It is argued that macroscopic traffic flow models may …

We analytically investigate a wide cluster solution and show that it is not admitted in some of
the traffic flow models in the literature. For those traffic flow models that admit the wide …

A two-phase traffic flow model is described. One phase is traffic equilibrium: flow and speed
are functions of density, and traffic acceleration is low. The second phase is characterized by …

In this paper, a multi-class traffic flow model as an extension of the Lighthill, Whitham and
Richards (LWR) model with heterogeneous drivers is formulated. The model takes into …

The aim of this paper is to address the following questions: which models, among fluido-
dynamic ones, are more appropriate to describe urban traffic? While a rich debate was …