Temperature jump in second Stokes' problem by nonlinear analysis
  The second Stokes problem about behavior of the viscous fluid (matter) filling half-space is considered. A flat surface limiting half-space makes harmonious oscillations in the eigen plane. The equations of mechanics of the continuous environment are used. It is shown, that in considered process there is the temperature difference between temperature of a surface and temperature environments far from a surface. Usually similar difference is called as temperature jump. The method of small parameter is applied. Temperature jump in the second approach is found out. 
A. V. Latyshev and A. A. Yushkanov
physics.flu-dyn