Concepts of Hyperbolicity and Relativistic Continuum Mechanics

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.

12 pages, uses svmult.cls style file, expanded version of lecture given at 319th WE-Heraeus Seminar on "Mathematical Relativity: New Ideas and Developments"

References in corpus (2)

• Strongly hyperbolic second order Einstein's evolution equations
• Linear pre-metric electrodynamics and deduction of the light cone

Cited by in corpus (2)

• Covariant phase space, constraints, gauge and the Peierls formula
• Hyperbolicity of second-order in space systems of evolution equations