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Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 140))

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Abstract

We study the relaxation of multi-D semilinear hyperbolic systems to parabolic systems. The singular limits are studied combining Tartar’s and Gérard’s generalized compensated compactness and by using the properties of the pseudodifferential symmetrizer of the system.

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Author information

Authors and Affiliations

  1. Scuola Normale Superiore, Piazza Cavalieri 7, 56100, Pisa, Italy

    Donatella Donatelli

  2. Dip.di Matematica Pura ed Applicata, Università degli Studi dell’Aquila, 67100, L’Aquila, Italy

    Pierangelo Marcati

Authors
  1. Donatella Donatelli
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  2. Pierangelo Marcati
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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. Otto-von-Guericke-University, Institute of Analysis and Numerical Mathematics, PSF 4120, Magdeburg, 39106, Germany

    Gerald Warnecke

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© 2001 Springer Basel AG

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Donatelli, D., Marcati, P. (2001). Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_32

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  • DOI: https://doi.org/10.1007/978-3-0348-8370-2_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9537-8

  • Online ISBN: 978-3-0348-8370-2

  • eBook Packages: Springer Book Archive

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