• DOI:10.1137/0523032
• Corpus ID: 53622577

Solution of the Cauchy problem for a conservation law with a discontinuous flux function

@article{Gimse1992SolutionOT,
  title={Solution of the Cauchy problem for a conservation law with a discontinuous flux function},
  author={Tore Gimse and Nils Henrik Risebro},
  journal={Siam Journal on Mathematical Analysis},
  year={1992},
  volume={23},
  pages={635-648}
}

• T. Gimse, N. Risebro
• Published 1 May 1992
• Mathematics
• Siam Journal on Mathematical Analysis

The Cauchy problem is solved for a conservation law arising in oil reservoir simulation where the flux function may depend discontinuously on the space variable. To do this front tracking is used as a method of analysis.