Analytical solution of boundary-value problems for the ellipsoidal statistical equation

This paper describes an analytical method for solving semispatial boundary-value problems for the ellipsoidal statistical equation with a frequency proportional to the molecular velocity. The classical Smoluchowski problem of a temperature jump in a rarefied gas and weak vaporization (condensation) is solved. Numerical calculations of the obtained expressions are performed. A comparison is made with previous results.