二粒子Boltzmann方程组的奇异扰动解法:初始层解

On the Singular Perturbation Solution of Two-particle Boltzmann Equations:Initial Layer Solution

本文讨论了二粒子Boltzmann方程组的初始层解.为此先对未知变量进行了Fourier变换,然后运用奇异扰动解法得到了二粒子Boltzmann方程组的正规解和初始层解以及其初始层解的初级和高级近似,并且得到了初始层解和正规解的连接.

The initial layer solution of the Boltzmann Hierarchy for two-particles is dis- cussed in this article. By using the method of The Singular Perturbation Solution, we formulate the Boltzmann Hierarchy with Fourier transform, and then get the normal solu- tion and initial solution. In addition,the primary and high-order approximation of the initial layer solution is obtained and the connection between the normal solution and initial layer solution is given.