Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
β Scribed by Klar, Axel; Wegener, Raimund
- Book ID
- 118194245
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2000
- Tongue
- English
- Weight
- 200 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0036-1399
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π SIMILAR VOLUMES
In the present paper, a kinetic model for vehicular traffic is presented and investigated in detail. For this model, the stationary distributions can be determined explicitly. A derivation of associated macroscopic traffic flow equations from the kinetic equation is given. The coefficients appearing
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 descrip