We consider the ARZ traffic flow model, and two particular solutions of it: a constant flow of cars, or a congestion modelled by a travelling wave. In both cases, we give a criteria to show the stability of these flows, both at the linear and non-linear level.

This is a joint work with Tej-Eddine Ghoul and Nader Masmoudi.

This video was produced by the SITE Research Center at New York University, as part of their talk series.