Abstract
The problem of constructing of a uniform asymptotic approximation to the solution of the Boltzmann equation is solved for an attenuating small-amplitude standing wave in a stationary homogeneous gas in the limiting case of small Knudsen numbers ɛ. Using the multiscale technique, a regular approximation valid for time intervals up to ɛ−1 is obtained. It is shown that nonlinearity of the kinetic equation leads to violation of monochromaticity of the initial perturbation and changes the damping mode.
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