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Volume 7, Number 1, 2017, Pages 119-133                                                                DOI:10.11948/2017009
Interactions of delta shock waves for the Aw-Rascle traffic model with split delta functions
Zhiqiang Shao,Meixiang Huang
Keywords:Aw-Rascle model, Riemann problem, Delta shock wave, wave interaction.
Abstract:
      This paper is concerned with the interactions of $\delta$-shock waves for the Aw-Rascle traffic model with split delta functions. The solutions are obtained constructively when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case. Moreover, it can be found that the Riemann solutions are stable for such small perturbations with initial data by studying the limits of the solutions when the perturbed parameter $\varepsilon\rightarrow0$.
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