1.3.4 Hydrodynamics equations including radiation

The hydrodynamics equations including radiative terms are

$\begin{displaymath} { \!\!\!\!\! \renewedcommand{arraystretch}{2.0} \... ...criptstyle F$}}}_\mathrm{rad}} \right) & = & 0 \end{array}} \end{displaymath}$

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where the radiative energy flux $\bgroup\color{HIGH1color}$\ensuremath{\mathchoice{\mbox{\boldmath$\displaystyle ... ...\scriptstyle F$}} {\mbox{\boldmath$\scriptscriptstyle F$}}}_\mathrm{rad}$\egroup$ and the radiation pressure $\bgroup\color{HIGH1color}$\bar{\bar{\ensuremath{\mathsf{P}}}}_\mathrm{rad}$\egroup$ are computed from the intensity $\bgroup\color{DEFcolor}$I_\nu \left( \ensuremath{\mathchoice{\mbox{\boldmath$\di... ...scriptstyle n$}} {\mbox{\boldmath$\scriptscriptstyle n$}}}}, \nu \right)$\egroup$ as ( $\bgroup\color{DEFcolor}$c_\mathrm{l}$\egroup$ : speed of light, $\bgroup\color{DEFcolor}$\nu$\egroup$ : frequency)

$\begin{displaymath} \ensuremath{\mathchoice{\mbox{\boldmath$\displaystyle F$}} ... ...dmath$\scriptscriptstyle n$}}}}, \nu \right) d \omega d \nu \end{displaymath}$

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$\begin{displaymath} \bar{\bar{\ensuremath{\mathsf{P}}}}_\mathrm{rad} \left( \en... ...tscriptstyle n$}}}}, \nu \right) d \omega d \nu \enspace . \end{displaymath}$

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