update: auto commit

2026-04-09 20:10:30 -04:00
parent e0b6b323d7
commit 5a0c786aa0
1 changed files with 1 additions and 1 deletions
@@ -262,7 +262,7 @@
      \begin{cases}
        \Partial{t}{\phi} = \pi, \\
        \Partial{t}{\tensor{\psi}{_i}} = \Partial{i} \pi, \\
-        \Partial{t}{\pi} = \pdv{\tensor{\psi}{_i}}{x}.
+        \Partial{t}{\pi} = \tensor{\delta}{^i^j} \Partial{i} \tensor{\psi}{_j}.
      \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