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)
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