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Mišur, Marin; Mitrović, Darko; Novak, Andrej
Mathematical modelling and analysis, 09/2016, Letnik: 21, Številka: 5Journal Article
We consider a Dirichlet-Neumann boundary problem in a bounded domain for scalar conservation laws. We construct an approximate solution to the problem via an elliptic approximation for which, under appropriate assumptions, we prove that the corresponding limit satisfies the considered equation in the interior of the domain. The basic tool is the compensated compactness method. We also provide numerical examples.
