Well-posedness results for the Generalized Aw-Rascle-Zhang model

We establish existence, uniqueness and stability results for the so-called Generalized Aw-Rascle-Zhang model, a second order traffic model introduced by Fan, Herty and Seibold. Our analysis is motivated by the companion paper ‘Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit’.