Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model

DOI10.3233/ASY-211725zbMath1504.35377arXiv1904.03462OpenAlexW3196757222MaRDI QIDQ5104658

Shouqiong Sheng, Zhi-Qiang Shao

Publication date: 15 September 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03462

zbMATH Keywords

numerical simulationsdelta shock waveRiemann solutionsweighted Dirac-measurezero pressure gas dynamicsAw-Rascle traffic modelvanishing adiabatic exponent limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Traffic problems in operations research (90B20) PDEs in connection with mathematical programming (35Q90) Traffic and pedestrian flow models (76A30)

Related Items (2)

Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model ⋮ Hard congestion limit of the dissipative Aw-Rascle system with a polynomial offset function

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