Title Formal asymptotic models of vehicular traffic. Model closures
Authors Alexandros Sopasakis
Alternative Location http://dx.doi.org/10.1137/S..., Restricted Access
Publication SIAM Journal on Applied Mathematics
Year 2003
Volume 63
Issue 5
Pages 1561 - 1584
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Society for Industrial and Applied Mathematics (SIAM)
Abstract 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.
Keywords Chapman–Enskog, nonlinear kinetic equations, Hilbert asymptotic expansions, traffic flow models,
ISBN/ISSN/Other ISSN: 1095-712X (online)

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