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Second Stokes problem about behaviour of rarefied gas filling half-space isanalytically solved. A plane limiting half-space makes harmonious fluctuationsin the plane. The kinetic equation with modelling integral collisions in formof ellipsoidal statistical model is used . The case of diffusion reflexions ofgas molecules from a wall is considered. Function distribution of gas moleculesis constructed and mass velocity of gas also in half-space is found.Hydrodynamic character of the solution at small frequencies of fluctuationplane limiting gas is revealed. The force of a friction operating from gas onborder making in the plane oscillatory movement is found.

Analytical solution of second Stokes problem about behaviour of gas over fluctuating surface by means of ellipsoidal statistical equation