Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw-Rascle model

2024/06/18 by Priyanka Priyanka, Priyanka, M. Zafar +1
Mathematics · Physics and Astronomy · #35L03 #35L40 #35L65 #35L67 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2406.12318

openalex publication_date 2024/06/18 · openalex created_date 2024/06/20 · openalex updated_date 2026/07/28

Abstract

The motivation of this study is to find the Riemann solutions of the Aw-Rascle model with a more realistic version of extended Chaplygin gas. Firstly, we establish the Riemann solutions with two different structures, viz., a shock wave followed by the contact discontinuity and a rarefaction wave followed by the contact discontinuity. Further, by analyzing the limiting behavior, it is found that one of the Riemann solutions converges to a δ-shock solution as the pressure approaches the generalized Chaplygin gas pressure. Moreover, numerical simulations have been performed to validate the theoretical analysis.

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