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Conservation laws with discontinuous flux

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  • We consider a hyperbolic conservation law with discontinuous flux. Such a partial differential equation arises in different applications, in particular we are motivated by a model of traffic flow. We provide a new formulation in terms of Riemann Solvers. Moreover, we determine the class of Riemann Solvers which provide existence and uniqueness of the corresponding weak entropic solutions.
    Mathematics Subject Classification: Primary: 35L50, 35L65, 90B20; Secondary: 76S05.

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