Kinetic and fluid-dynamic equations for physical systems.
Charge transport in semiconductors, in particular graphene.
Multi-species population models.
Entropy methods in dissipative systems.
Analytical and numerical methods for nonlinear parabolic PDEs, with particular attention to cross-diffusion structures.
Hypocoercivity in kinetic equations.
 N. Zamponi and L. Barletti: “Quantum Electronic Transport in Graphene: A Kinetic and Fluid-Dynamic Approach”, Mathematical Methods in the Applied Sciences, Vol.34, No.7, p.807-818, 2011.