利用匹配渐近展开法构造一类奇摄动激波层问题的近似解  

Construction of approximation solutions for some singularly perturbed shock layer problems by matched asymptotic expansions method

作　　者：谭芳芳[1] 刘树德[1] 

机构地区：[1]安徽工程大学机电学院,安徽芜湖241000

出　　处：《阜阳师范学院学报（自然科学版）》2014年第4期8-10,共3页Journal of Fuyang Normal University(Natural Science)

基　　金：国家自然科学基金项目(11202106)资助

摘　　要：考虑一类具有激波层性态的奇摄动拟线性边值问题,先分析在一个内点处可能出现激波层现象的条件,然后利用匹配渐近展开法构造出在整个区间上一致有效的复合展开式,从而得到该问题具有激波层性质的零次近似解。Some singularly perturbed second order quasilinear boundary value problems with shock layer behavior are considered.Shock layer phenomenon which may occur at an interior point is analyzed.Then a composite expansion that is uniformly valid over the whole interval is constructed by matched asymptotic expansions method and thus a zero-order approximation solution of the problem is obtained.

关 键 词：奇摄动 边值问题 激波层 匹配渐近展开法 近似解 

分 类 号：O175.14[理学—数学]