The Perturbed Riemann Problem for the Aw-Rascle Model with Modified Chaplygin Gas Pressure

Yujin Liu and Wenhua Sun

Advances in Mathematical Physics, 2018, vol. 2018, 1-7

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7104527

DOI: 10.1155/2018/7104527

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