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本文提出一种解小Knudsen数的Boltzmann方程的方法,它可以消去Hilbert展开和Enskog展开中的久期项改进正规解,消去Grad展开中的久期项改进初始层解,并把求边界层解归结为求解线性代数方程组。A kind of singular perturbation method is used to remove secular terms in Hilbert expansion and Enskog expansion of the normal solution and those in Grad expansion of the "initial layer" solution of Boltzmann equation (B.e.). The problem of solving B.e. in the "boundary layer" is reduced to that of solving a set of linear algebraic equations.
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