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Formal asymptotic models of vehicular traffic. Model closures

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Author

Summary, in English

Formal closed models for vehicular traffic flow are obtained based on the novel equilibrium solution of the Prigogine--Herman equation. To that effect, Hilbert and Chapman--Enskog asymptotic series expansions are employed, obtaining the Euler and Navier--Stokes equivalent equations for traffic flow.

Publishing year

2003

Language

English

Pages

1561-1584

Publication/Series

SIAM Journal on Applied Mathematics

Volume

63

Issue

5

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Mathematics

Keywords

  • Chapman–Enskog
  • nonlinear kinetic equations
  • Hilbert asymptotic expansions
  • traffic flow models

Status

Published

ISBN/ISSN/Other

  • ISSN: 0036-1399