Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models

Author:

M. Hong John, ,Hsu Cheng-Hsiung,Huang Bo-Chih,Yang Tzi-Sheng, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference30 articles.

1. Vanishing viscosity solutions of nonlinear hyperbolic systems,;S. Bianchini;Ann. of Math.,2005

2. Derivation of continuum traffic flow models from microscopic follow-the-leader models,;A. Aw;SIAM J. Appl. Math.,2002

3. Resurrection of "second order" models of traffic flow,;A. Aw;SIAM J. Appl. Math.,2000

4. "Hyperbolic Conservation Laws in Continuum Physics,";C. M. Dafermos;2$^{nd}$ edition,2005

5. A formulation of reaction time of traffic flow models,;J. M. Del Castillo;in,1993

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