Journal article
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure
Nonlinear analysis: real world applications, Vol.62, p.103351
12/2021
DOI: 10.1016/j.nonrwa.2021.103351
Abstract
In this paper, we mainly study the stability of Riemann problem for the improved Aw–Rascle–Zhang model which describes the formation and dynamics of traffic jams. First of all, we construct the classical Riemann solutions by elementary waves with the method of characteristic analysis. With the generalized Rankine–Hugoniot and entropy conditions, we prove the existence and uniqueness of δ-shock wave for arbitrary convex F(u) in this model. Then through a small perturbation, we analyze the wave interactions of different kinds of waves. As a result, we get the stability for the Riemann problem by letting the perturbed parameter ε→0.
Details
- Title: Subtitle
- On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure
- Creators
- Tingting Chen - China University of GeosciencesWeifeng Jiang - China Jiliang UniversityTong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.62, p.103351
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2021.103351
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Grant note
- DOI: 10.13039/501100007194, name: Wenzhou Municipal Science and Technology Bureau, award: 2020G0038; DOI: 10.13039/501100012226, name: Fundamental Research Funds for the Central Universities; DOI: 10.13039/501100004701, name: China University of Geosciences, Wuhan, award: CUGL180827; DOI: 10.13039/501100004731, name: Natural Science Foundation of Zhejiang Province, award: LQ18A010004
- Language
- English
- Date published
- 12/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241152002771
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