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ODE-PDE models in traffic flow dynamics

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Publication:504598
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DOI10.1007/s00574-016-0167-5zbMath1356.35134OpenAlexW2344387750MaRDI QIDQ504598

Francesca Marcellini

Publication date: 17 January 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0167-5


zbMATH Keywords

hyperbolic systems of conservation lawsmacroscopic traffic models


Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)


Related Items

A traffic model aware of real time data ⋮ Existence of solutions for a functional integro-differential equation with infinite point and integral conditions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics
  • Flows on networks: recent results and perspectives
  • Free-congested and micro-macro descriptions of traffic flow
  • A traffic model aware of real time data
  • On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
  • A mixed ODE–PDE model for vehicular traffic
  • Shock Waves on the Highway
  • FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
  • On kinematic waves II. A theory of traffic flow on long crowded roads
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