On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws

    Marin Mišur Info
    Darko Mitrovic Info
    Andrej Novak Info

Abstract

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.

Keywords:

scalar conservation law, bounded domain, Dirichlet-Neumann problem, compensated compactness, numerical simulations

How to Cite

Mišur, M., Mitrovic, D., & Novak, A. (2016). On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws. Mathematical Modelling and Analysis, 21(5), 685-698. https://doi.org/10.3846/13926292.2016.1214187

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September 20, 2016
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2016-09-20

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How to Cite

Mišur, M., Mitrovic, D., & Novak, A. (2016). On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws. Mathematical Modelling and Analysis, 21(5), 685-698. https://doi.org/10.3846/13926292.2016.1214187

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