Geodesic
Models of a linearized Boltzmann collision integral
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 1029-1044

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For rarefied gas flows at moderate and low Knudsen numbers, model equations are derived that approximate the Boltzmann equation with a linearized collision integral. The new kinetic models generalize and refine the $S$-model kinetic equation. 
@article{ZVMMF_2007_47_6_a8,
     author = {I. N. Larina and V. A. Rykov},
     title = {Models of a~linearized {Boltzmann} collision integral},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1029--1044},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a8/}
}
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I. N. Larina; V. A. Rykov. Models of a linearized Boltzmann collision integral. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 1029-1044. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a8/