Temperature and Density Jumps in the Kinetic Theory of Gases and Vapors

The problem of evaporation from an interphase and the problem of heat conduction in a gas are studied on the basis of the linearized single-relaxation model equation. Both problems lead to the same set of integral equations. Exact values are obtained for the microscopic temperature and density jumps. It is found that the macroscopic temperature and density jumps of the evaporation problem can be expressed in terms of the macroscopic jumps of the heat conduction problem and vice versa. A proof for the existence and uniqueness of the solutions is also given.