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- Title
The Perturbed Riemann Problem for the Aw-Rascle Model with Modified Chaplygin Gas Pressure.
- Authors
Liu, Yujin; Sun, Wenhua
- Abstract
This paper is concerned with the perturbed Riemann problem for the Aw-Rascle model with the modified Chaplygin gas pressure. We obtain constructively the solutions when the initial values are three piecewise constant states. The global structure and the large-time asymptotic behaviors of the solutions are discussed case by case. Further, we obtain the stability of the corresponding Riemann solutions as the initial perturbed parameter tends to zero.
- Subjects
RIEMANN-Hilbert problems; PERTURBATION theory; INITIAL value problems; PROBLEM solving; PARAMETERS (Statistics)
- Publication
Advances in Mathematical Physics, 2018, p1
- ISSN
1687-9120
- Publication type
Article
- DOI
10.1155/2018/7104527