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Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms

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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 contrast to hyperbolic conservation laws, systems of hyperbolic balance laws can possess nontrivial continuous traveling wave solutions of the form andsis the wave speed. These traveling waves satisfy the ordinary differential equation where the prime denotes differentiation with respect to.

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Author information

Authors and Affiliations

  1. Freie Universität Berlin, Arnimallee 2-6, Berlin, 14195, Germany

    Jörg Härterich

  2. University of Maryland, College Park, MD, 20742, USA

    Jörg Härterich

Authors
  1. Jörg Härterich
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Editor information

Editors and Affiliations

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

    Heinrich Freistühler

  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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Härterich, J. (2001). Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms. 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_2

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  • DOI: https://doi.org/10.1007/978-3-0348-8372-6_2

  • 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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