Geodesic
Analytical solution of model Boltzmann BGK-equation in temperature jump problem with energy accomodation
Matematičeskoe modelirovanie, Tome 4 (1992) no. 10, pp. 41-46.

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For the first time the exact solition of the Boltzmann equation with collision operator BGK is constructed to the jump temperature problem with energy accomodation. Gas occupies halfspace over plate wall. Temperature gradient at ifinity from wall is given. Case's method and vector boundary value Riemann–Hilbert problem are used. 
@article{MM_1992_4_10_a3,
     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Analytical solution of model {Boltzmann} {BGK-equation} in temperature jump problem with energy accomodation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {41--46},
     publisher = {mathdoc},
     volume = {4},
     number = {10},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1992_4_10_a3/}
}
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A. V. Latyshev; A. A. Yushkanov. Analytical solution of model Boltzmann BGK-equation in temperature jump problem with energy accomodation. Matematičeskoe modelirovanie, Tome 4 (1992) no. 10, pp. 41-46. http://geodesic.mathdoc.fr/item/MM_1992_4_10_a3/