Haar method, averaged matrix, wave cancellations, and L1 stability for hyperbolic systems

@inproceedings{LeFloch2006HaarMA,
  title={Haar method, averaged matrix, wave cancellations, and L1 stability for hyperbolic systems},
  author={Philippe G. LeFloch},
  year={2006}
}
  • Philippe G. LeFloch
  • Published 2006
  • Mathematics
  • We develop a version of Haar and Holmgren methods which applies to discontinuous solutions of nonlinear hyperbolic systems and allows us to control the L1 distance between two entropy solutions. The main difficulty is to cope with linear hyperbolic systems with discontinuous coefficients. Our main observation is that, while entropy solutions contain compressive shocks only, the averaged matrix associated with two such solutions has compressive or undercompressive shocks, but no rarefaction… CONTINUE READING

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