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Updated: Aug 14, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Navier-Stokes-like equations for traffic flow
1Departamento de Física, Universidad Autónoma Metropolitana, 09340, Iztapalapa, México.
Abstract:
The macroscopic traffic flow equations derived from the reduced Paveri-Fontana equation are closed starting with the maximization of the informational entropy. The homogeneous steady state taken as a reference is obtained for a specific model of the desired velocity and a kind of Chapman-Enskog method is developed to calculate the traffic pressure at the Navier-Stokes level. Numerical solution of the macroscopic traffic equations is obtained and its characteristics are analyzed.
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