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 measure-valued solutions coincide with the classical solutions as long as the latter exist.

Automated summary

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.