Quantum fluid models for electron transport in graphene

We derived and studied several fluid models for quantum transport of electrons in graphene. The models have been derived from a collisional Wigner equation by means of an entropy minimization tecnique. Analytical results concerning one of the models have been achieved, showing the well-posedness of the model itself. Numerical simulations of a one-dimensional ballistic diode using two of the presented models have been performed, showing some interesting features of the considered models.