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Conservation laws with discontinuous flux. (English) Zbl 1142.35511
Summary: 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.

MSC:
35L65 Hyperbolic conservation laws
35D05 Existence of generalized solutions of PDE (MSC2000)
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