二粒子Boltzmann方程组的奇异扰动解法

On the Singular Perturbation Solution of Boltzmann Hierachy for Two-particles

讨论了二粒子Boltzmann方程组的边界层解.为此我们先对未知变量进行了Fourier变换,然后运用前人的方法对变换后的函数进行展开.通过对未知变量做一些特殊的函数展开,得到了二粒子Boltzmann方程组的正规解和边界层解,并得到了边界层解的初级和高级近似.

The boundary layer solution of the Bohzmann Hierarchy for two-particles are discussed. By using the method of previous work we formulate the Boltzmann Hierarchy with Fourier transform. By making some expansion to the new functions obtained above we get the normal solution and the boundary layer solution,and for the boundary layer solution the pri- mary approximation and high-order approximation of it are obtained.