Existence and Stability of Riemann Solution to the Aw-Rascle Model with Friction

Gan Yin () and Jianjun Chen ()
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Gan Yin: Zhejiang University of Science & Technology
Jianjun Chen: Zhejiang University of Science & Technology

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 4, 671-688

Abstract: Abstract This manuscript is concerned with the Riemann problem and the stability of the Riemann solution of the Aw-Rascle (AR) model with a source term. There exists a unique Riemann solution to the AR model with friction. The problem with three-piecewiseconstant initial data is studied ulteriorly to reach the results on interactions of waves without the vacuum. Based on these results, the Riemann solution turns out to be stable for such a small perturbed initial data.

Keywords: Riemann problem; interaction of waves; shock wave; rarefaction wave; Aw-Rascle model (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0294-3

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