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    Kinetic derivation of a Hamilton-Jacobi traffic flow model

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    Date
    2012
    Author
    Borsche, Raul
    Kimathi, Mark
    Klar, Axel
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    Abstract
    Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of equations: in certain situations modified Aw-Rascle equations are obtained. On the other hand, for several choices of kinetic parameters new Hamilton-Jacobi type traffic equations are found. Associated microscopic models are discussed and numerical experiments are presented discussing several situations for highway traffic and comparing the different models.
    URI
    http://ir.mksu.ac.ke/handle/123456780/4768
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    • School of Pure and Applied Sciences [259]

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