2-DIMENSIONAL HALF-SPACE PROBLEMS FOR THE BROADWELL DISCRETE VELOCITYMODEL

Stationary boundary value problems for the Broadwell model in a half-s pace and in a half-infinite channel are considered. By means of the an alogy between the stationary boundary value problems for the Broadwell equations and the initial-boundary value problem of Carleman's system , solutions are found for various situations, Uniqueness and non-uniqu eness of solutions is discussed as well. The non-uniqueness problem in the channel leads to the investigation of the initial value problem f or Carleman's equation with partly negative initial densities. Some ne w results for this problem are given.