The University of Southampton
University of Southampton Institutional Repository

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.

Full text not available from this repository.

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: https://eprints.soton.ac.uk/id/eprint/29197
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: 20 Jul 2018 00:34

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×