Kinetic Theories and the Boltzmann Equation: 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

The initial value problem for the Boltzmann equation is discussed. A survey of last decade results is presented. Time-dependent linear transport theory....Pages 1-59 An introduction to the nonlinear boltzmann-vlasov equation....Pages 60-110 The Boltzmann equation and its properties....Pages 111-175 Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom....Pages 176-191 The space-homogeneous Boltzmann equation for molecular forces of infinite range....Pages 192-201 The cauchy problem for the Boltzmann equation. A survey of recent results....Pages 202-206 Boltzmann hierarchy and boltzmann equation....Pages 207-220 A nonlinear half-space problem in the kinetic theory of gases....Pages 221-243