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Weak Harmonic System

The evolution equations for this system have the form:

$\displaystyle \partial_\alpha\partial_\beta \gamma^{ij}$	$\textstyle =$	$\displaystyle S^{ij}$	(2)
$\displaystyle \partial_\alpha \gamma^{\alpha\beta}$	$\textstyle =$	$\displaystyle H^{\beta}$	(3)

Where $S^{ij}, H^{\beta}$ are source terms.