On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws (CROSBI ID 231749)
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Podaci o odgovornosti
Mišur, Marin ; Mitrović, Darko ; Novak, Andrej
engleski
On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws
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.
scalar conservation law ; bounded domain ; Dirichlet-Neumann problem ; compensated compactness ; numerical simulations
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Podaci o izdanju
21 (5)
2016.
685-698
objavljeno
1392-6292
1648-3510
10.3846/13926292.2016.1214187