Discretization and numerical schemes for steady kinetic model equations

There are still many open questions concerning the relationship between (steady) kinetic equations, random particle games designed for these equations, and transitions, e.g., to fluid dynamics and turbulence phenomena. The paper presents some first steps into the derivation of models which on one hand may be used for the design of efficient numerical schemes for steady gas kinetics, and on the other hand allow to study the interplay between particle schemes and physical phenomena.