Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints

Details Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints

2004-02-18

arxiv.org/abs/gr-qc/0402079v1

Phys.Rev. D70 (2004) 044031

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, revtex4

Scientific paper

10.1103/PhysRevD.70.044031

Motivated by the initial-boundary value problem for the Einstein equations,
we propose a definition of symmetric hyperbolicity for systems of evolution
equations that are first order in time but second order in space. This can be
used to impose constraint-preserving boundary conditions. The general methods
are illustrated in detail in the toy model of electromagnetism.

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