2 research outputs found
Asymptotic limits of a discrete kinetic theory model of vehicular traffic
AbstractThe paper proposes a rigorous method to construct the hyperbolic asymptotic limit of the discrete Kinetic Theory model of vehicular traffic proposed in [8]. A second-order macroscopic model of the Payne–Whitham type is derived and the coefficients of the equations are obtained from the detailed description of the microscopic interactions developed in the kinetic model