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\item The principle symbol matrix is large, and it's hard to evaluate if it's diagonalizable or not.
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\item The principle symbol matrix is large, and it's hard to evaluate if it's diagonalizable or not.
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\item There are many available terms to add, and there is no general principle on how to choose the terms that are more likely to recover the hyperbolicity.
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\item There are many available terms to add, and there is no general principle on how to choose the terms that are more likely to recover the hyperbolicity.
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\end{itemize}
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\end{itemize}
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\item What's the best we got so far:
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\item What we got so far:
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\begin{itemize}
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\begin{itemize}
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\item A weakly hyperbolic system.
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\item Found some weakly hyperbolic systems.
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\item Some "feeling" on which terms should be added and where
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\item A roadmap on FOCCZ4 $\rightarrow$ FOZ4c.
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\item A Mathematica based workflow to test hyperbolicity.
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\item Some experience based "feeling" on which terms should be added and where.
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\end{itemize}
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\end{itemize}
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\end{itemize}
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\end{itemize}
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\end{frame}
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\end{frame}
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