A BGK approximation to scalar conservation laws with discontinuous flux
Analysis of PDEs
2010-04-01 v1
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.
Keywords
Cite
@article{arxiv.1003.4155,
title = {A BGK approximation to scalar conservation laws with discontinuous flux},
author = {Florent Berthelin and Julien Vovelle},
journal= {arXiv preprint arXiv:1003.4155},
year = {2010}
}