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Structure and Instability of High-Density Equations for Traffic Flow

Dirk Helbing
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Abstract

Similar to the treatment of dense gases, fluid-dynamic equations for the dynamics of congested vehicular traffic are derived from Enskog-like kinetic equations. These contain additional terms due to the anisotropic vehicle interactions. The calculations are carried out up to Navier-Stokes order. A linear instability analysis indicates an additional kind of instability compared to previous macroscopic traffic models. The relevance for describing granular flows is outlined.

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Dirk Helbing. 1998-06-10. Structure and Instability of High-Density Equations for Traffic Flow. https://doi.org/10.1103/physreve.57.6176

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