Phase-Space Analysis of Fluid-Dynamical Models of Traffic Flow

Abstract

The present research article is devoted to the study of two fluid-dynamical traffic models and their steady states by first analyzing the kinetic-type Borsche-Kimathi-Klar model and the Navier-Stokes-type Helbing model. To fulfill this purpose, the study is made by means of a general analysis in the phase space. Phase space paths are constructed in several cases for both models, evaluating explicitly some phase space trajectories. Ultimately, the results of these analyses are discussed.