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Concepts of Hyperbolicity and Relativistic Continuum Mechanics

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Analytical and Numerical Approaches to Mathematical Relativity

Part of the book series: Lecture Notes in Physics ((LNP,volume 692))

Abstract

After a short introduction to the characteristic geometry underlying weakly hyperbolic systems of partial differential equations we review the notion of symmetric hyperbolicity of first-order systems and that of regular hyperbolicity of second-order systems. Numerous examples are provided, mainly taken from nonrelativistic and relativistic continuum mechanics.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Wien, Boltzmanngasse 5, Wien, 1090, Austria

    Robert Beig

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  1. Robert Beig
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Editors and Affiliations

  1. Institut für Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany

    Jörg Frauendiener

  2. Fakultät für Physik und Mathematik, Universität Freiburg, Hermann-Herder-Str. 3, Freiburg, 79104, Germany

    Domenico J.W. Giulini

  3. Institut für Theoretische Physik, TU Berlin, Hardenbergstrasse 36, Berlin, 10623, Germany

    Volker Perlick

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Beig, R. (2006). Concepts of Hyperbolicity and Relativistic Continuum Mechanics. In: Frauendiener, J., Giulini, D.J., Perlick, V. (eds) Analytical and Numerical Approaches to Mathematical Relativity. Lecture Notes in Physics, vol 692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33484-X_5

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