Аннотация:The kinetic equation for a monatomic gas with a model collision operator (S-model) is usedto study the development and tending to steady state of one-dimensional unsteady half-space gas condensation on a plane condensed phase. Initially, the gas is at rest and in equilibrium with the body’s surface and, then, the body temperature suddenly drops to a constant value. The problem is solved using animplicit second-order accurate quasi-monotone scheme. The process of reaching a steady flow regimeis of primary interest. The effect of the evaporation (condensation) coefficient on the flow pattern is analyzed.