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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

A derivation of the Aw-Rascle traffic models from Fokker-Planck type kinetic models


Authors: R. Illner, C. Kirchner and R. Pinnau
Journal: Quart. Appl. Math. 67 (2009), 39-45
MSC (2000): Primary 35Qxx, 82C31
DOI: https://doi.org/10.1090/S0033-569X-09-01075-7
Published electronically: January 22, 2009
MathSciNet review: 2495070
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Abstract: We show how the Aw-Rascle model, a hyperbolic system of PDEs modeling traffic flow, can be derived from a simplified Fokker-Planck type kinetic equation.


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R. Illner
Affiliation: Department of Mathematics and Statistics, University of Victoria, PO Box 3045 STN CSC, Victoria, B.C., Canada V8W 3P4
Email: rillner@math.uvic.ca

C. Kirchner
Affiliation: Fachbereich Mathematik, TU Kaiserslautern, D-67653 Kaiserslautern, Germany
Email: kirchner@mathematik.uni-kl.de

R. Pinnau
Affiliation: Fachbereich Mathematik, TU Kaiserslautern, D-67653 Kaiserslautern, Germany
Email: pinnau@mathematik.uni-kl.de

DOI: https://doi.org/10.1090/S0033-569X-09-01075-7
Keywords: Traffic flow, kinetic equation, Fokker--Planck, Aw--Rascle model, multilane traffic
Received by editor(s): June 1, 2007
Published electronically: January 22, 2009
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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