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author:

Shao, Z. (Shao, Z..) [1] | Huang, M. (Huang, M..) [2]

Indexed by:

Scopus

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. © 2017, Wilmington Scientific Publisher. All rights reserved.

Keyword:

Aw-Rascle model; Delta shock wave; Riemann problem; Wave interaction

Community:

  • [ 1 ] [Shao, Z.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350116, China
  • [ 2 ] [Huang, M.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350116, China

Reprint 's Address:

  • [Shao, Z.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

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 HC Threshold:71

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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