Hydrodynamic models of traffic flow: drivers' behaviour and nonlinear diffusion.
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Publication:1597146
DOI10.1016/S0895-7177(00)00042-XzbMath1042.90526OpenAlexW1967614501WikidataQ127633917 ScholiaQ127633917MaRDI QIDQ1597146
Publication date: 5 May 2002
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00042-x
Related Items (20)
On the velocity distribution at equilibrium in the mathematical theory of vehicular traffic flow ⋮ ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING ⋮ Modeling and simulation of driver's anticipation effect in a two lane system on curved road with slope ⋮ ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS ⋮ From experiments to hydrodynamic traffic flow models. I: Modelling and parameter identifica\-tion ⋮ Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow ⋮ Sharp profiles in models of collective movements ⋮ Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling ⋮ From Traffic and Pedestrian Follow-the-Leader Models with Reaction Time to First Order Convection-Diffusion Flow Models ⋮ Stochastic modelling of traffic flow. ⋮ A family of numerical schemes for kinematic flows with discontinuous flux ⋮ From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow ⋮ Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic ⋮ On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors ⋮ Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow ⋮ Smoothing effect of degenerate diffusion ⋮ Vanishing viscosity for traffic on networks with degenerate diffusivity ⋮ Nonlinear hydrodynamic models of traffic flow in the presence of tollgates ⋮ Optimization of traffic flow conditions by minimization of quadratic functionals ⋮ From experiments to hydrodynamic traffic flow models. II: Sensitivity analysis
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