INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS

Zhiqiang Shao; Meixiang Huang

doi:10.11948/2017009

2017 Volume 7 Issue 1

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Zhiqiang Shao, Meixiang Huang. INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 119-133. doi: 10.11948/2017009

Citation:

Zhiqiang Shao, Meixiang Huang. INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 119-133. doi: 10.11948/2017009

INTERACTIONS OF DELTA SHOCK WAVES FOR THE AW-RASCLE TRAFFIC MODEL WITH SPLIT DELTA FUNCTIONS

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

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Abstract

Abstract

This paper is concerned with the interactions of δ-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 ε → 0.
- Aw-Rascle model /
- Riemann problem /
- Delta shock wave /
- wave interaction
MSC: 35L65;35L67

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References

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