Hyperbolicity analysis of a class of dynamical systems modelling traffic flow

DOI10.1016/j.aml.2006.06.022zbMath1132.35412OpenAlexW2020974030MaRDI QIDQ2470565

Ida Bonzani

Publication date: 14 February 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.06.022

zbMATH Keywords

mass conservation equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Traffic problems in operations research (90B20)

Related Items (1)

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

Cites Work

• From experiments to hydrodynamic traffic flow models. I: Modelling and parameter identifica\-tion
• Nonlinear models of vehicular traffic flow - new frameworks of the mathematical kinetic theory
• From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
• First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
• Mathematical models for vehicular traffic
• MATHEMATICAL METHODS AND TOOLS OF KINETIC THEORY TOWARDS MODELLING COMPLEX BIOLOGICAL SYSTEMS

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