二粒子Boltzmann方程组的初始层解

Initial Layer Solutions of Two-particle Boltzmann Hierarchy

采用奇异扰动法讨论了二粒子Boltzmann方程组的初始层解.对分布函数、关联函数和二粒子Boltzmann方程组进行了Fourier变换,然后利用已有的方法构造了二粒子Boltzmann方程组的正规解.在此基础上,通过对未知变量做特殊函数展开,得到一组满足初始条件的初始层解,并讨论初始层解的初级、一级和高级近似.

Adopting the singular perturbation method,the initial layer solutions of the two-particle Boltzmann hierarchy are discussed.Distribution function,correlation function and the Boltzmann hierarchy are processed by Fourier transform.With an existing method,the normal solution of the two-particle Boltzmann hierarchy is obtained.By making special function expansions to unknown variables,the initial layer solutions,which meet the initial condition of the Boltzmann hierarchy,are gained.The primary approximation,first order approximation and high-order approximation of the initial layer solution are discussed.