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Update moment_kinetic_equations.md
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Couple typos
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LucasMontoya4 authored Jun 22, 2024
1 parent 456f221 commit be4217a
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions docs/src/moment_kinetic_equations.md
Original file line number Diff line number Diff line change
Expand Up @@ -89,7 +89,7 @@ energy equation over $\tilde{v}_{\|}$ instead of $w_{\|}$,
\tilde{p}_{\|,s}
& = \frac{1}{\sqrt{\pi}}\int d\tilde{v}_{\|}\left(\tilde{v}_{\|}
- \tilde{u}_{s}\right)^{2}\tilde{f}_{s}
= \int d\tilde{v}_{\|}\tilde{v}_{\|}^{2}\tilde{f}_{s}
= \frac{1}{\sqrt{\pi}}\int d\tilde{v}_{\|}\tilde{v}_{\|}^{2}\tilde{f}_{s}
- \tilde{n}_{s}\tilde{u}_{s}^{2}\\
%
\tilde{q}_{\|,s}
Expand Down Expand Up @@ -184,7 +184,7 @@ tildes from here on)
\frac{\partial u_{i}}{\partial t} + \frac{1}{n_{i}}\frac{\partial p_{\|,i}}{\partial z}
+ u_{i}\frac{\partial u_{i}}{\partial z} + \frac{1}{2}\frac{\partial\phi}{\partial z}
&= -R_{in}n_{n}\left(u_{i}-u_{n}\right)
+ R_{\mathrm{ion}}\frac{n_{i}n_{n}}{n_{s}}\left(u_{n}-u_{i}\right)
+ R_{\mathrm{ion}}n_{i}n_{n}\left(u_{n}-u_{i}\right)
- \frac{u_{i}}{n_{i}} \int dv_\parallel S_{i}
\end{align}
```
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