  We derive some fluid-dynamic models for electron transport near a Dirac point
in graphene. We start from a kinetic model constituted by a set of spinorial
Wigner equations, we make suitable scalings (hydrodynamic or diffusive) of the
model and we build moment equations, which we close through a minimum entropy
principle. In order to do this we make some assumptions: the usual
semiclassical approximation ($\hbar\ll 1$), and two further hypothesis, namely
Low Scaled Fermi Speed (LSFS) and Strongly Mixed State (SMS), which allow us to
explicitly compute the closure.
