Geodesic
A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 544-556

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A model kinetic equation approximating the Boltzmann equation with a linearized collision integral is constructed to describe rarefied gas flows at moderate and low Knudsen numbers. The kinetic model describes gas flows with a power-law intermolecular interaction potential and involves five relaxation parameters. The structure of a shock wave is computed, and the results are compared with an experiment for argon. 
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     author = {I. N. Larina and V. A. Rykov},
     title = {A kinetic model of the {Boltzmann} equation for the power-law interaction potential between molecules},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_3_a12/}
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I. N. Larina; V. A. Rykov. A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 3, pp. 544-556. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_3_a12/