Recent Advances on Particle Systems in Kinetic Theory

Nonlinear boundary layers for discrete kinetic models

Niclas Bernhoff

Karlstad University, Sweden

In this talk we present some results for the nonlinear half-space problem of condensation and evaporation for the discrete Boltzmann equation for single species, multicomponent mixtures, polyatomic molecules, chemical reactions, fermions, and bosons, also (in a particular case) for excitations in interaction with a Bose-Einstein condensate. Our results originate in results for the linearized half-space problem of condensation and evaporation for the discrete Boltzmann equation obtained in collaboration with A. V. Bobylev.