On the Dirichlet-Neumann boundary problem for scalar conservation laws Marin Miˇsur 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. This is joint work with Darko Mitrovi´c and Andrej Novak.
On the Dirichlet-Neumann boundary problem for scalar ...
Abstract: We consider a Dirichlet-Neumann boundary problem in a bounded domain for scalar conservation laws. We construct an approximate solution to the ...
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Introduction. We study the .... As an illustration, let us consider the trivial ... We first briefly recall some basic facts about stochastic calculus with respect to a frac-.
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problem, i.e. a Stokes problem in a domain with a prescribed moving boundary with mixed boundary conditions coupled with ODE. Finally, in Section four we ...
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