Journal
APPLIED MATHEMATICS LETTERS
Volume 24, Issue 5, Pages 672-678Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2010.12.004
Keywords
Traffic flow modelling; Asymptotic limit; Kinetic Theory; Macroscopic equations
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Funding
- FIRB [RBID08PP3J]
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The paper proposes a rigorous method to construct the hyperbolic asymptotic limit of the discrete Kinetic Theory model of vehicular traffic proposed in 18]. A second-order macroscopic model of the Payne-Whitham type is derived and the coefficients of the equations are obtained from the detailed description of the microscopic interactions developed in the kinetic model. (C) 2010 Elsevier Ltd. All rights reserved.
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