The main properties of the simplest spatially non-homogeneous kinetic equation (the Goldstein-McKean model) are briefly reviewed. The relationships with generalized and/or extended hydrodynamics are looked upon, as they result from the projection operator method, spectral analysis, and scaling....

We consider a classical charged gas (with self-consistent Coulomb interaction) described by a solvable linearized Boltzmann equation with thermalization on uniformly distributed scatterers. It is shown that if one scales the time t, the reciprocal space coordinate k and the Debye length l as...