We consider a hyperbolic conservation law with discontinuous flux. Such a partial differential equation arises in different applications, in particu- lar 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 en- tropic solutions.
Conservation laws with discontinuous flux / Garavello, M; Natalini, Roberto; Piccoli, B; Terracina, Andrea. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 2:(2007), pp. 159-179. [10.3934/nhm.2007.2.159]
Conservation laws with discontinuous flux
NATALINI, Roberto;TERRACINA, Andrea
2007
Abstract
We consider a hyperbolic conservation law with discontinuous flux. Such a partial differential equation arises in different applications, in particu- lar 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 en- tropic solutions.File allegati a questo prodotto
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