Journal article
Modelling traffic flow with a time-dependent fundamental diagram
Mathematical methods in the applied sciences, Vol.27(5), pp.583-601
03/25/2004
DOI: 10.1002/mma.470
Abstract
We model traffic flow with a time-dependent fundamental diagram. A time-dependent fundamental diagram arises naturally from various factors such as weather conditions, traffic jam or modern traffic congestion managements, etc. The model is derived from a car-following model which takes into account the situation changes over the time elapsed time. It is a system of non-concave hyperbolic conservation laws with time-dependent flux and the sources. The global existence and uniqueness of the solution to the Cauchy problem is established under the condition that the variation in time of the fundamental diagram is bounded. The zero relaxation limit of the solutions is found to be the unique entropy solution of the equilibrium equation. Copyright © 2004 John Wiley & Sons, Ltd.
Details
- Title: Subtitle
- Modelling traffic flow with a time-dependent fundamental diagram
- Creators
- Tong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Mathematical methods in the applied sciences, Vol.27(5), pp.583-601
- Publisher
- John Wiley & Sons, Ltd
- DOI
- 10.1002/mma.470
- ISSN
- 0170-4214
- eISSN
- 1099-1476
- Number of pages
- 19
- Grant note
- name: Career Development Awards of University of Iowa
- Language
- English
- Date published
- 03/25/2004
- Academic Unit
- Mathematics
- Record Identifier
- 9984240775602771
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