Trimodal approximate solutions of the non-linear Boltzmann equation

摘要

Approximate solutions of the non-linear Boltzmann equation, which have the structure of the linear combination of three global Maxwellians with arbitrary hydrodynamical parameters, are considered. Some sufficient conditions which allow the error between the left- and the right-hand sides of the equation lend to zero, and which are calculated either in the mixed metric or in the pure integral metric, are obtained. The class of the distributions, which minimized this error for the arbitrary Knudsen number, is found. (C) 1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd. [References: 13]