A traffic flow model with non-smooth metric interaction: Well-posedness and micro-macro limit
Résumé
We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally
on the downstream traffic density via a discontinuous anisotropic kernel. The result is obtained recasting the problem in the space of
probability measures equipped with the $\infty$-Wasserstein distance. We also show convergence of solutions of a finite dimensional system,
which provide a particle method to approximate the solutions to the original problem.
| Origine | Fichiers produits par l'(les) auteur(s) |
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