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

作　　者：韩燕丽[1] 田红晓[1] 阿其拉图[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《应用数学学报》2013年第5期910-922,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No.10861008;No.11161030)资助项目

摘　　要：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.

关 键 词：二粒子Boltzmann方程组 正规解 初始层解 

分 类 号：O29[理学—应用数学] O552.3[理学—数学]