Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic

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.