A Bhatnagar–Gross–Krook approximation to scalar conservation laws with discontinuous flux
Berthelin, F.; Vovelle, J.; Berthelin F.; Université de Nice; Vovelle J.; Université Claude Bernard Lyon 1
Журнал:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Дата:
2010
Аннотация:
AbstractWe study the Bhatnagar–Gross–Krook (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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