Geodesic
Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 459-474

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The second Stokes problem concerning the behavior of a rarefied gas in the half-space bounded over a plate undergoing harmonic in-plane oscillations is solved analytically using the Bhat-nagar–Gross–Krook equation with Cercignani boundary conditions for gas molecules reflecting from the wall. The distribution function of the gas molecules is constructed. The gas velocity in the half-space and near the wall, the drag force exerted by the gas on the boundary, and the energy dissipation rate per unit area of the oscillating plate are found. 
@article{ZVMMF_2013_53_3_a12,
     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Analytical solution of the second {Stokes} problem for rarefied gas with {Cercignani} boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {459--474},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a12/}
}
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A. V. Latyshev; A. A. Yushkanov. Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 459-474. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a12/