Abstract
Kinetic theory – what is it about? Particle dynamics and continuum mechanics. Distribution functions, microscopic and macroscopic models. Traditional and modern applications of kinetic theory.
From dynamics to kinetic equations. Derivation of the Boltzmann equation.
Boltzmann equation and its general properties. Conservation laws and H-theorem.
Maxwell models in kinetic theory. Fourier-Laplace transforms and general properties of Maxwell models. Spectrum of the linearized operator. Eigenfunctions and eigenvalues. Self-similar solutions, exact solutions and power-like tails.
