A BGK approximation to scalar conservation laws with discontinuous flux

Details A BGK approximation to scalar conservation laws with discontinuous flux A BGK approximation to scalar conservation laws with discontinuous flux

2010-03-22

arxiv.org/abs/1003.4155v1

Mathematics

Analysis of PDEs

Scientific paper

We study the BGK approximation to first-order scalar conservation laws with a
flux which is discontinuous in the space variable. We show that the Cauchy
Problem for the BGK approximation is well-posed and that, as the relaxation
parameter tends to 0, it converges to the (entropy) solution of the limit
problem.

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