Indian Journal of Pure and Applied Mathematics

, Volume 49, Issue 4, pp 671–688 | Cite as

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

  • Gan YinEmail author
  • Jianjun Chen


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.

Key words

Riemann problem interaction of waves shock wave rarefaction wave Aw-Rascle model 


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Copyright information

© The Indian National Science Academy 2018

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang University of Science & TechnologyHangzhouChina

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