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Concepts of Hyperbolicity and Relativistic Continuum Mechanics

  • Robert Beig
Chapter
Part of the Lecture Notes in Physics book series (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.

Keywords

Cauchy Problem Einstein Equation Hyperbolic System Principal Symbol Smooth Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Robert Beig
    • 1
  1. 1.Institut für Theoretische Physik der Universität WienWienAustria

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