From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow

Authors:
N. Bellomo;A. Marasco;A. Romano
Affiliations:
Department of Mathematics, Politecnico Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy;Department of Mathematics, Complesso Monte Sant'Angelo, University of Napoli, I-80100 Napoli, Italy;Department of Mathematics, Complesso Monte Sant'Angelo, University of Napoli, I-80100 Napoli, Italy
Venue:
Nonlinear Analysis: Real World Applications
Year:
2002

Citing 14
Cited 13

Time-dependent traffic equilibria

Journal of Optimization Theory and Applications
Resurrection of “second order” models of traffic flow

SIAM Journal on Applied Mathematics
Kinetic derivation of macroscopic anticipation models for vehicular traffic

SIAM Journal on Applied Mathematics
Mechanics and Dynamical Systems with Mathematica

Mechanics and Dynamical Systems with Mathematica
Generalized Collocation Methods: Solutions to Nonlinear Problems

Generalized Collocation Methods: Solutions to Nonlinear Problems
Synchronized flow as a new traffic phase and related problems for traffic flow modelling

Mathematical and Computer Modelling: An International Journal
Reproducible features of congested highway traffic

Mathematical and Computer Modelling: An International Journal
Micro- and macro-simulation of freeway traffic

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
A personalized kinetic model of traffic flow

Mathematical and Computer Modelling: An International Journal
Node and link models for network traffic flow simulation

Mathematical and Computer Modelling: An International Journal
Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems

Mathematical and Computer Modelling: An International Journal
Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods

Mathematical and Computer Modelling: An International Journal
Hydrodynamic models of traffic flow: Drivers' behaviour and nonlinear diffusion

Mathematical and Computer Modelling: An International Journal

Modelling and simulations of multilane traffic flow by kinetic theory methods

Computers & Mathematics with Applications
Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods

Computers & Mathematics with Applications
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

SIAM Review
On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors

Mathematical and Computer Modelling: An International Journal
On the modelling of space dynamics in the kinetic theory for active particles

Mathematical and Computer Modelling: An International Journal
Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic

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
From experiments to hydrodynamic traffic flow models: I-modelling and parameter identification

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
The modelling of thin sheet forming by laser beams heat transfer models toward deformation 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
A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.00

From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow

Quantified Score

Visualization

Abstract