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

Carsten Gundlach·Jose M. Martin-Garcia
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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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Carsten Gundlach, Jose M. Martin-Garcia. 2004-02-18. Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints. https://doi.org/10.1103/physrevd.70.044031

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