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Hyperbolicity and kinematic waves of a class of multi-population partial differential equations

Published online by Cambridge University Press:  26 April 2006

PENG ZHANG ,
RU-XUN LIU ,
S. C. WONG  and
SHI-QIANG DAI
PENG ZHANG
Affiliation:
Shanghai Institute of Applied Mathematics & Mechanics, Shanghai University, P. R. China
RU-XUN LIU
Affiliation:
Department of Mathematics, University of Science & Technology of China, P. R. China
S. C. WONG
Affiliation:
Department of Civil Engineering, The University of Hong Kong, Hong Kong SAR, P. R. China email: hhecwsc@hkucc.hku.hk
SHI-QIANG DAI
Affiliation:
Shanghai Institute of Applied Mathematics & Mechanics, Shanghai University, P. R. China
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Abstract

This paper studies many fundamental aspects of a newly proposed multi-class traffic flow model. For the first time it presents a complete discussion on the hyperbolicity of the system; and based upon this, the admissible waves of the Riemann problem are deeply investigated. Many important conclusions are made in discussions, and the related physical meanings are interpreted. For the confirmation of main conclusions, numerical examples are given at the end.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 17 , Issue 2 , April 2006 , pp. 171 - 200
Copyright
2006 Cambridge University Press

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Footnotes

The work described in this paper was jointly supported by grants from the Hong Kong Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKU 7031/02E), the National Natural Science Foundation of China (10472064, 10371118), and the China Postdoctoral Science Foundation (2003034254).