The global solution of the interaction problem for the Aw-Rascle model with phase transitions

DOI10.1002/mma.2552zbMath1258.35194OpenAlexW2064481339MaRDI QIDQ2919484

Xinli Han, Lijun Pan

Publication date: 2 October 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2552

zbMATH Keywords

LWR-AR coupling traffic modelscongested zonefree zoneinteractions of elementary waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

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A macroscopic traffic model with phase transitions and local point constraints on the flow, Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation

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