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We consider an hyperbolic conservation law with discontinuous flux. Such partial differential equation arises in different applicative problems, 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… (More)

We propose a semilinear relaxation approximation to the unique entropy solutions of an initial boundary value problem for a scalar conservation law. Without any restriction on the initial{boundary data or on the ux function, we prove uniform a priori estimates and convergence of that approximation as the relaxation parameter tends to zero.

- Andrea Terracina
- SIAM J. Math. Analysis
- 2011

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