Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 48, Issue 3, Pages 440-477Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2023.2183511
Keywords
Aw-Rascle model of traffic; measure-valued solutions; relative energy; weak-strong uniqueness
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We study the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. We prove the existence of global-in-time measure-valued solutions for arbitrary large initial data and periodic boundary conditions. Using the relative energy technique, we also show that the measure-valued solutions coincide with the classical solutions as long as they exist.
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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