Abstract
Macroscopic traffic flow models with non-local mean velocity
Paola Goatin
INRIA
Conservation laws with non-local flux have been recently introduced in traffic
modeling to account for the reaction of drivers to the surrounding density of other individuals. In this talk, I will consider a modified Lighthill-Whitham-Richards model, in which the mean velocity depends on a weighted mean of the downstream car density.
I will show how to prove the model well-posedness, relying on the convergence of approximate solutions constructed by an adapted finite volume scheme. I will also show how to derive the model as micro-macro limit of a finite dimensional dynamical system with metric interaction. (joint work with S. Blandin, F. Rossi and S. Scialanga)
modeling to account for the reaction of drivers to the surrounding density of other individuals. In this talk, I will consider a modified Lighthill-Whitham-Richards model, in which the mean velocity depends on a weighted mean of the downstream car density.
I will show how to prove the model well-posedness, relying on the convergence of approximate solutions constructed by an adapted finite volume scheme. I will also show how to derive the model as micro-macro limit of a finite dimensional dynamical system with metric interaction. (joint work with S. Blandin, F. Rossi and S. Scialanga)