Concepts of Hyperbolicity and Relativistic Continuum Mechanics
General Relativity and Quantum Cosmology
2015-06-25 v2
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
Cite
@article{arxiv.gr-qc/0411092,
title = {Concepts of Hyperbolicity and Relativistic Continuum Mechanics},
author = {Robert Beig},
journal= {arXiv preprint arXiv:gr-qc/0411092},
year = {2015}
}
Comments
12 pages, uses svmult.cls style file, expanded version of lecture given at 319th WE-Heraeus Seminar on "Mathematical Relativity: New Ideas and Developments"