From the Boltzmann equation to generalized kinetic models in applied sciences
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
Nonlinear Analysis: Real World Applications
Modelling of traffic flow and air pollution emission with application to Hong Kong Island
Environmental Modelling & Software
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Stochastic modelling of traffic flow
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
Nonlinear hydrodynamic models of traffic flow in the presence of tollgates
Mathematical and Computer Modelling: An International Journal
Optimization of traffic flow conditions by minimization of quadratic functionals
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
Hydrodynamic models of traffic flow: Drivers' behaviour and nonlinear diffusion
Mathematical and Computer Modelling: An International Journal
Traffic viscosity due to speed variation: Modeling and implications
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
From experiments to hydrodynamic traffic flow models II-Sensitivity analysis
Mathematical and Computer Modelling: An International Journal
Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow
Mathematical and Computer Modelling: An International Journal
Modelling and Simulation in Engineering
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This paper deals with nonlinear hydrodynamic modelling of traffic flow on roads and with the solution of related nonlinear initial and boundary value problems. The paper is in two parts. The first one provides the general framework of hydrodynamic modelling of traffic flow. Some new models are proposed and related to the ones which are known in the literature. The second one is on mathematical methods related to the solution of initial-boundary value problems. A critical analysis and an overview on research perspectives conclude the paper.