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Well-posedness of a 2 × 2 System of Resonant Conservation Laws

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 130))

Abstract

We show existence and uniqueness of solutions to a class of scalar conservation laws where the flux function may depend discontinuously on the space variable. Furthermore we show L1 stability in this case. In the special case f(x, µ) = a(x)g(µ), we show stability also with respect to the coefficient a.

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Author information

Authors and Affiliations

  1. Research Centre, Norsk Hydro ASA, Bergen, 5200, Norway

    Runhild Aae Klausen

  2. Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, N-0316, Oslo, Norway

    Nils Henrik Risebro

Authors
  1. Runhild Aae Klausen
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  2. Nils Henrik Risebro
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Editor information

Editors and Affiliations

  1. Seminar for Applied Mathematics, ETH Zentrum, Zürich, 8092, Switzerland

    Rolf Jeltsch  & Michael Fey  & 

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© 1999 Springer Basel AG

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Klausen, R.A., Risebro, N.H. (1999). Well-posedness of a 2 × 2 System of Resonant Conservation Laws. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8724-3_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9744-0

  • Online ISBN: 978-3-0348-8724-3

  • eBook Packages: Springer Book Archive

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