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Yingjie Wang
2026-04-09 21:25:59 -04:00
parent 5a92976b1c
commit c7b1de220c
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@@ -332,16 +332,7 @@
\end{frame} \end{frame}
\begin{frame}{Towards first order Z4c}{constraints during the reduction} \begin{frame}{Towards first order Z4c}{constraints during the reduction}
We have to check if the constraint damping term will change the hyperbolicity of the system. The new system has We have to check if the constraint damping term will change the hyperbolicity of the system. The new principal symbol matrix is
\begin{equation}
\tensor{A}{^i^I_J} = \begin{pmatrix}
0 & 0 & 0 \\
0 & 0 & -\tensor{e}{_i} \\
-\gamma \tensor{e}{^i} & -\tensor{e}{^i} & 0
\end{pmatrix} \qc
S=-\gamma \mqty(0 \\ 0 \\ \myvec{\psi}),
\end{equation}
thus the principal symbol matrix is
\begin{equation} \begin{equation}
\tensor{P}{^I_J}(\xi) = \begin{pmatrix} \tensor{P}{^I_J}(\xi) = \begin{pmatrix}
0 & 0 & 0 \\ 0 & 0 & 0 \\