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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 epsilon -> 0.
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JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN: 2156-907X
Year: 2017
Issue: 1
Volume: 7
Page: 119-133
1 . 0 6 3
JCR@2017
1 . 0 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:71
JCR Journal Grade:2
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 7
SCOPUS Cited Count: 8
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
Affiliated Colleges: