Abstract
Some explicit approximate solutions of the non-linear Bryan–Pidduck equation (that is the Boltzmann equation for the model of rough spheres) are proposed. They have a form of spatially non-homogeneous linear combination of two global Maxwellians with zero mass angular velocities but arbitrary mass linear velocities. The low-temperature asymptotics of the uniform-integral and the pure integral errors between the sides of this equation are found. Sufficient conditions of the infinitesimality of these errors are received, which are based on some requirements on coefficient functions and parameters of the distribution. Copyright © 2000 John Wiley & Sons, Ltd.
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