Kinetic Theories and the Boltzmann Equation [electronic resource] : Lectures given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini, Italy, June 10 – 18, 1981 / edited by Carlo Cercignani.

Time-dependent linear transport theory -- An introduction to the nonlinear boltzmann-vlasov equation -- The Boltzmann equation and its properties -- Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom -- The space-homogeneous Boltzmann equation for molecular forces of infinite range -- The cauchy problem for the Boltzmann equation. A survey of recent results -- Boltzmann hierarchy and boltzmann equation -- A nonlinear half-space problem in the kinetic theory of gases.