Analysis of the generalized Aw-Rascle model

We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For arbitrary large initial data and the periodic boundary conditions, we prove the existence of global-in-time measure-valued solutions. We also show, using the relative energy technique, that the measur...

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Bibliographic Details
Published inCommunications in partial differential equations Vol. 48; no. 3; pp. 440 - 477
Main Authors Chaudhuri, Nilasis, Gwiazda, Piotr, Zatorska, Ewelina
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 04.03.2023
Taylor & Francis Ltd
Subjects
Aw-Rascle model of traffic
Boundary conditions
measure-valued solutions
relative energy
weak-strong uniqueness
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ISSN0360-5302
1532-4133
DOI10.1080/03605302.2023.2183511

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Summary:We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For arbitrary large initial data and the periodic boundary conditions, we prove the existence of global-in-time measure-valued solutions. We also show, using the relative energy technique, that the measure-valued solutions coincide with the classical solutions as long as the latter exist.
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ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2023.2183511