Kinetic Theory

The course covers the following: - The Boltzmann equation for single monatomic gases, and extensions to gas mixtures and polyatomic molecules, - Discrete velocity models for single monatomic gases, gas mixtures, and/or polyatomic molecules, - The main properties of the non-linear Boltzmann equation, including conservation laws and the H-theorem, - The linearized Boltzmann equation and some common boundary conditions, - Construction of normal (without non-physical collision invariants) discrete velocity models, - Half-space problems: Knudsen layers, evaporation/condensation phenomena, conditions of existence, - Shock profiles: the Rankine-Hugoinot conditions and existence.