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On rarefied gas velocity shock in the linearized BGK model of the Boltzmann equation. (Russian) Zbl 1109.76366
In kinetic gas theory an important role is played by problems connected with the investigation of rarefied gas flow in a half-space bounded by a plane rigid wall. Here the linearized Boltzmann equation in a frame of the BGK-model is considered. The problem is analytically described by a uniform integral equation with the sum-difference kernel. Several effective and mathematically well-founded analytic and numerical methods are proposed and used for the solution of the problem. Some results of numerical investigations are presented.

MSC:
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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