Summary
A macroscopic traffic model for aggressive drivers is developed from a kinetic equation by means of a maximization procedure and Grad’s method. The macroscopic equations thus obtained contain a kind a of viscosity effect as well as density gradients. An stability analysis is developed and stable regions are observed. The simulation results are shown for one initial condition and they are in general agreement with traffic flow characteristics.
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Méndez, A.R., Velasco, R.M. (2009). Kinetic Derivation for a Traffic Flow Model. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_20
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DOI: https://doi.org/10.1007/978-3-540-77074-9_20
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