  Weakly interacting quantum fluids allow for a natural kinetic theory
description which takes into account the fermionic or bosonic nature of the
interacting particles. In the simplest cases, one arrives at the
Boltzmann-Nordheim equations for the reduced density matrix of the fluid. We
discuss here two related topics: the kinetic theory of the fermionic Hubbard
model, in which conservation of total spin results in an additional Vlasov type
term in the Boltzmann equation, and the relation between kinetic theory and
thermalization.
