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arXiv · 1003.4155

A BGK approximation to scalar conservation laws with discontinuous flux

Florent Berthelin·Julien Vovelle
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Abstract

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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Florent Berthelin, Julien Vovelle. 2010-03-22. A BGK approximation to scalar conservation laws with discontinuous flux. https://arxiv.org/abs/1003.4155

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