• search hit 1 of 1
Back to Result List

Multivalued Fundamental Diagrams And Stop And Go Waves For Continuum Traffic Equations

  • In the present paper a kinetic model for vehicular traffic leading to multivalued fundamental diagrams is developed and investigated in detail. For this model phase transitions can appear depending on the local density and velocity of the flow. A derivation of associated macroscopic traffic equations from the kinetic equation is given. Moreover, numerical experiments show the appearance of stop and go waves for highway traffic with a bottleneck.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Author:M. Günther, A. Klar, T. Materne, R. Wegener
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (35)
Document Type:Report
Language of publication:English
Year of Completion:2002
Year of Publication:2002
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Date of the Publication (Server):2004/02/02
Tag:kinetic derivation; macroscopic equations; multivalued fundamental diagram; phase transitions; stop and go waves; traffic flow
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011