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1.4.4 Static case

Further assumption:

\begin{displaymath}
v_{x} = v_{y} = v_{z} = 0
\end{displaymath} (37)

Result:

No mass loss

Hydrostatic pressure stratification:

\begin{displaymath}
\frac{\partial }{\partial z} \left( \langle P\rangle +
\la...
...{\mathrm{rad},z} \rangle
\right)
=
- \langle \rho \rangle g
\end{displaymath} (38)
Stratification in radiative equilibrium:
\begin{displaymath}
\langle F_{\mathrm{rad},z} \rangle
=
\mathrm{const}
=
F_{*}
\end{displaymath} (39)