diff --git a/docs/src/moment_kinetic_equations.md b/docs/src/moment_kinetic_equations.md index 5f5f81a40..5ed24d32e 100644 --- a/docs/src/moment_kinetic_equations.md +++ b/docs/src/moment_kinetic_equations.md @@ -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} @@ -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} ```