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On the L 1 Stability of Multi-shock Solutions to the Riemann Problem

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 141))

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Abstract

In this article we present a summary of some recent results concerning the L1 stability of non-linear large shock waves, that arise in the study of strictly hyperbolic systems of conservation laws in one space dimension. For the detailed discussion and the proofs we refer to papers [6] [7] [8] [9].

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References

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Author information

Authors and Affiliations

  1. SISSA via Beirut 2-4, Trieste, 34014, Italy

    Marta Lewicka

Authors
  1. Marta Lewicka
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Editors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22-26, Leipzig, 04103, Germany

    Heinrich FreistĂĽhler

  2. Institute of Analysis and Numerical Mathematics, Otto-von-Guericke-University, PSF 4120, Magdeburg, 39106, Germany

    Gerald Warnecke

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© 2001 Springer Basel AG

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Lewicka, M. (2001). On the L 1 Stability of Multi-shock Solutions to the Riemann Problem. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. ISNM International Series of Numerical Mathematics, vol 141. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8372-6_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8372-6_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9538-5

  • Online ISBN: 978-3-0348-8372-6

  • eBook Packages: Springer Book Archive

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