Concepts of Hyperbolicity and Relativistic Continuum Mechanics

Details Concepts of Hyperbolicity and Relativistic Continuum Mechanics Concepts of Hyperbolicity and Relativistic Continuum Mechanics

2004-11-18

arxiv.org/abs/gr-qc/0411092v2

Lect.Notes Phys. 692 (2006) 101-116

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, uses svmult.cls style file, expanded version of lecture given at 319th WE-Heraeus Seminar on "Mathematical Relativit

Scientific paper

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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