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

Zhiqiang Shao | Zendy; Meixiang Huang | Zendy

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

Author(s) -

Zhiqiang Shao,

Meixiang Huang

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017009

Subject(s) - riemann problem , shock wave , riemann hypothesis , delta , piecewise , mathematical analysis , mathematics , constant (computer programming) , physics , shock (circulatory) , mathematical physics , thermodynamics , computer science , medicine , astronomy , programming language

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.

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