Changes between Version 14 and Version 15 of u/johannjc/scratchpad4


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Timestamp:
10/01/15 07:32:51 (9 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/scratchpad4

    v14 v15  
    118118Now for the perpendicular term, we have
    119119
    120  $\frac{\partial T}{\partial t} = \nabla \cdot \left [ n \hat{b} \frac{-n \kappa_\perp}{B^2 \left (\Lambda+1\right )} \left ( \hat{b} \cdot \nabla T_*^{\Lambda+1} \right ) +  \frac{n \kappa_\perp}{B^2 \left (\Lambda+1\right )}\nabla^2 T_*^{\Lambda+1} \right ]$
     120 $\frac{\partial T}{\partial t} = \nabla \cdot \left [ n \hat{b} \frac{-n \kappa_\perp}{B^2 \left (\Lambda+1\right )} \left ( \hat{b} \cdot \nabla T_*^{\Lambda+1} \right ) +  n \frac{n \kappa_\perp}{B^2 \left (\Lambda+1\right )}\nabla^2 T_*^{\Lambda+1} \right ]$
    121121
    122122And performing a Taylor expansion gives