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Yingjie Wang
2026-04-09 16:05:36 -04:00
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$\implies$ we need to find a first order, strongly hyperbolic formulation of Einstein's equations with constraint damping and compatible with the moving puncture gauge condition. $\implies$ we need to find a first order, strongly hyperbolic formulation of Einstein's equations with constraint damping and compatible with the moving puncture gauge condition.
\end{frame} \end{frame}
\begin{frame}{Existing first order formulations} \begin{frame}{Towards first order Z4c}
\section{Towards first order Z4c} \section{Towards first order Z4c}
\subsection{Hyperbolicity of first order systems}
Say we have a list of variables $u^I$, and a first order PDE system
\begin{equation}
\pdvt{u^I} + \tensor{A}{^i^I_J} \pdv{u^J}{x^i} = S^I,
\end{equation}
\end{frame}
\begin{frame}{Existing first order formulations}
\subsection{Existing first order formulations} \subsection{Existing first order formulations}
\begin{itemize} \begin{itemize}
\item GH \item GH