Non-local flow models with time delay: analysis and numerical experiments

Paola Goatin (Université Côte d’Azur, Inria)

Abstract: We prove the well-posedness of entropy weak solutions of a (multi-class) non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Hilliges-Weidlich scheme, while the L^1 stability with respect to the initial data and the delay parameter relies on a Kruzkov-type doubling of variable technique. Numerical tests are provided to illustrate the model characteristics, as well as the solution dependence on the delay and look-ahead parameters. Also, applications to the modeling of mixed autonomous / human driven traffic are presented.