title: On the initial value problem for a class of discrete velocity models.
abstract: In this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and for their numerical implementation, are obtained under weak hypotheses on the terms modeling the interaction among agents. The results are then compared with the existing literature on the subject.
authors.affiliation: University of Ferrara, Department of Mathematics and Computer Science, Via Machiavelli 35, 44121 Ferrara, Italy. email: davide.bellandi@unife.it.
authors.forename: Davide
authors.initials: D
authors.lastname: Bellandi
mesh_terms: D008962:Models, Theoretical; D018986:Motor Vehicles