update: auto commit

2026-04-09 20:09:29 -04:00
parent 6c628abc14
commit 498b710492
1 changed files with 2 additions and 2 deletions
@@ -261,8 +261,8 @@
    \begin{equation}
      \begin{cases}
        \Partial{t}{\phi} = \pi, \\
-        \pdvt{\psi} = \pdv{\pi}{x}, \\
-        \pdvt{\pi} = \pdv{\psi}{x}.
+        \Partial{t}{\tensor{\psi}{_i}} = \pdv{\pi}{x}, \\
+        \Partial{t}{\pi} = \pdv{\tensor{\psi}{_i}}{x}.
      \end{cases}
    \end{equation}
    write $u^I = (\phi, \pi, \psi)$, then the system can be written in the form of~\eqref{first-order-PDE} with