Asymptotic limits of a discrete Kinetic Theory model of vehicular traffic
β Scribed by Abdelghani Bellouquid; Marcello Delitala
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 221 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
The paper proposes a rigorous method to construct the hyperbolic asymptotic limit of the discrete Kinetic Theory model of vehicular traffic proposed in . 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.
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