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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
Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints
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.
space-time configurations, einstein field equations, hyperbolic equations, initial value problems
1550-7998
044031-[14pp]
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martín-García, José M.
4d46af63-2651-477e-b0f0-67245eba67f0
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martín-García, José M.
4d46af63-2651-477e-b0f0-67245eba67f0

Gundlach, Carsten and Martín-García, José M. (2004) Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints. Physical Review D, 70 (4), 044031-[14pp]. (doi:10.1103/PhysRevD.70.044031).

Record type: Article

Abstract

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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More information

Published date: 23 August 2004
Keywords: space-time configurations, einstein field equations, hyperbolic equations, initial value problems

Identifiers

Local EPrints ID: 29197
URI: http://eprints.soton.ac.uk/id/eprint/29197
DOI: doi:10.1103/PhysRevD.70.044031
ISSN: 1550-7998
PURE UUID: 34b58910-f2f4-4148-9923-7b8f6f611e34
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 12 May 2006
Last modified: 16 Mar 2024 03:15

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Contributors

Author: Carsten Gundlach ORCID iD
Author: José M. Martín-García

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