Journal article
Well-posedness theory of an inhomogeneous traffic flow model
Discrete and continuous dynamical systems. Series B, Vol.2(3), pp.401-414
08/01/2002
DOI: 10.3934/dcdsb.2002.2.401
Abstract
We study a traffic flow model with inhomogeneous road conditions such as obstacles. The model is a system of nonlinear hyperbolic equations with both relaxation and sources. The flux and the source terms depend on the space variable. Waves for such a system propagate in a more complicated way than those do for models with homogeneous road conditions.
The L-1 well-posedness theory for the model is established. In particular, we derive the continuous dependence of the solution on its initial data in L, topology. Moreover, the L-1-convergence to the unique zero relaxation limit is proved. Finally, the asymptotic states of a general solution whose initial data tend to constant states as \x\ --> +infinity are constructed.
Details
- Title: Subtitle
- Well-posedness theory of an inhomogeneous traffic flow model
- Creators
- T Li
- Resource Type
- Journal article
- Publication Details
- Discrete and continuous dynamical systems. Series B, Vol.2(3), pp.401-414
- DOI
- 10.3934/dcdsb.2002.2.401
- ISSN
- 1531-3492
- eISSN
- 1553-524X
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Number of pages
- 14
- Language
- English
- Date published
- 08/01/2002
- Academic Unit
- Mathematics
- Record Identifier
- 9984240761302771
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