Boundary problems for the one-dimensional kinetic equation with   frequency of collisions, affine depending on the module velocity
  For the one-dimensional linear kinetic equation analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equation has integral of collisions BGK (Bhatnagar, Gross and Krook) and frequency of collisions of molecules, affine depending on the module molecular velocity. 
A. L. Bugrimov, A. V. Latyshev and A. A. Yushkanov
math-ph math.MP