Geodesic
An approximate two-flow solution to the Boltzmann equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 126-136

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An explicit approximate solution to the three-dimensional nonlinear Boltzmann equation for rigid spheres is constructed. It has the form of a spatially inhomogeneous linear combination of two Maxwellians corresponding to different densities, temperatures, and mass velocities. It is shown that the integral norm of the discrepancy between the left- and right-hand sides of the equation can be made arbitrarily small by choosing appropriate values of the parameters entering the distribution. 
@article{TMF_1998_114_1_a6,
     author = {V. D. Gordevskii},
     title = {An approximate two-flow solution to the {Boltzmann} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {126--136},
     publisher = {mathdoc},
     volume = {114},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a6/}
}
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V. D. Gordevskii. An approximate two-flow solution to the Boltzmann equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 126-136. http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a6/