<https://lh3.googleusercontent.com/-AWTUGFh7EUw/WWu3HoSW8uI/AAAAAAAACOs/R5jUIIIHez8KRmeb90i-UfJPerRGsLzdwCLcBGAs/s1600/orig_func_single_dim.png>
 
<https://lh3.googleusercontent.com/-rpWk5kwPuIs/WWu4kBzX5xI/AAAAAAAACO4/AZMgykd_u2kLjFbPr1sDaROSk__9syrGQCLcBGAs/s1600/full_func.png>

The full original equation I want to implement is shown in the first image 
above.

In my question before I omitted the second \nabla, but during tests with 
dealII and own code I found out that it is important (while writing the 
code, not mathematically).

In one dimension the equations above can be written different (with N, T_E 
and T_L as 1d-matrices) as shown in the second image above.

Thus I would assume that my initial equations can be written as shown in 
the third image above, here for 3 dimensions. For 2 dimensions the 
z-dimension can be omitted.

This should be solvable using example 33, but during my tests I had the 
problem that I not only had to get the value for N, T_E or T_L, but also 
the value for the gradient (\nabla T_E, for example). But in the current 
version, I have to calculate that before calling the function for creating 
the flux matrix, and not in the function itself.
Did that explain my problem better?

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