Resurrection of “second order” models of traffic flow
SIAM Journal on Applied Mathematics
From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
Nonlinear Analysis: Real World Applications
Mathematical and Computer Modelling: An International Journal
Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges
Mathematical and Computer Modelling: An International Journal
The Aw-Rascle vehicular traffic flow model with phase transitions
Mathematical and Computer Modelling: An International Journal
Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow
Mathematical and Computer Modelling: An International Journal
Synchronized flow as a new traffic phase and related problems for traffic flow modelling
Mathematical and Computer Modelling: An International Journal
A 2 × 2 hyperbolic traffic flow model
Mathematical and Computer Modelling: An International Journal
From experiments to hydrodynamic traffic flow models: I-modelling and parameter identification
Mathematical and Computer Modelling: An International Journal
Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
Mathematical and Computer Modelling: An International Journal
Hydrodynamic models of traffic flow: Drivers' behaviour and nonlinear diffusion
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling
Mathematical and Computer Modelling: An International Journal
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This paper deals with a review and critical analysis on the modelling by hydrodynamic equations by taking into account not only the mechanistic behavior of the vehicles, but also the psycho-mechanic interactions between drivers and vehicles, with the aim of proposing various hints for research perspectives in view of further developments focused on vehicular traffic flow and conceivable developments in the dynamics of pedestrian crowds.