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Physically Bounded Solution for a Conserved Higher-Order Traffic Flow Model

In: Traffic and Granular Flow '13

Author

Listed:
  • Zhi-Yang Lin

    (Shanghai University, Institute of Applied Mathematics and Mechanics)

  • Peng Zhang

    (Shanghai University, Institute of Applied Mathematics and Mechanics)

  • Li-Yun Dong

    (Shanghai University, Institute of Applied Mathematics and Mechanics)

  • S. C. Wong

    (The University of Hong Kong, Department of Civil Engineering)

  • Keechoo Choi

    (Ajou University, Department of Transportation Engineering, TOD-based Sustainable Urban Transportation Center)

Abstract

This paper investigates bounded domains of the solution to a higher-order model in the density-velocity phase plane, according to the monotonicity of two characteristic variables. The basic principle is that the evolution of any phase states in a domain can be confined within this domain which is embraced by four isolines of two characteristic variables, if the evolution towards these isolines is impossible or against the monotonicity of the corresponding characteristic variable. The study provides more information than the classical linear analysis regarding the stability of solution to a higher-order model.

Suggested Citation

  • Zhi-Yang Lin & Peng Zhang & Li-Yun Dong & S. C. Wong & Keechoo Choi, 2015. "Physically Bounded Solution for a Conserved Higher-Order Traffic Flow Model," Springer Books, in: Mohcine Chraibi & Maik Boltes & Andreas Schadschneider & Armin Seyfried (ed.), Traffic and Granular Flow '13, edition 127, pages 463-470, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10629-8_51
    DOI: 10.1007/978-3-319-10629-8_51
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