A BGK approximation to scalar conservation laws with discontinuous flux 

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.
 


To get a preprint version
 

Retour