Transport coefficients

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$ n,u,Q,T,\mathrm{P},K $ … density, mean velocity, heat flux, pressure tensor, temperature, external force

$ \langle D,\kappa,p,\eta,\zeta \rangle $

These are matrices or numbers, and they might even depend on any other quantities.

$ u = - D\ \frac{\nabla n}{n} $

$ Q = - \kappa\ \nabla T $

$ \Lambda_{ik} = \frac{1}{2}\left( \frac{\partial}{\partial x_k}u_i + \frac{\partial}{\partial x_i}u_k \right) $

$ P = p\ I - 2\ \eta\ \Lambda - (\zeta+\frac{2}{3}\eta)\ \nabla u $

$ u = \mu\ K $