Journal
PHYSICS LETTERS A
Volume 301, Issue 5-6, Pages 408-412Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(02)01082-4
Keywords
nonlinear Boltzmann equation; Burgers equation; fluid-dynamical theories of vehicular traffic
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We derive from a solvable, discrete velocity model of a nonlinear Boltzmann equation the functional relations between the vehicular density rho (x, t) and the flux J (x, t) which occurs in a popular traffic model first proposed by Greenshields. (C) 2002 Elsevier Science B.V. All rights reserved.
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