一类燃烧问题的角层近似解的构造  

Construction of Corner Layer Approximate Solutions for Some Combustion Problems

作　　者：杜冬青 刘树德 DU Dong-qing;LIU Shude(Xuzhou Vocational Technology Academy of Finance&Economics,Xuzhou 221008,Jiangsu;Anhui Institute of Information Technology,Wuhu 241000,Anhui,China)

机构地区：[1]徐州财经高等职业技术学校基础部,江苏徐州221008 [2]安徽信息工程学院,安徽芜湖241000

出　　处：《合肥学院学报（综合版）》2021年第2期16-19,共4页Journal of Hefei University：Comprehensive ED

基　　金：安徽省高校自然科学重点项目(KJ2019A1289)资助。

摘　　要：研究了一类出现在燃烧理论中的奇摄动边值问题.利用匹配渐近展开法求出两个不同尺度的内、外展开式,然后按匹配原则进行匹配,使外展开式的内极限等于内展开式的外极限,形成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角层性质的零次近似解。Some singularly perturbed boundary value problems arising in theory of combustion are studied.The inner and outer expansion with different scales are developed using the method of matched asymptotic expansions.Then,a composite expansion that is uniformly valid over the whole interval is constructed equating the inner limit of the outer expansion and the outer limit of inner expansion according to the matching principle.Thus,a zero-order approximation solution of the problem is obtained which exhibits corner layer behavior.

关 键 词：燃烧理论 奇摄动 边值问题 角层现象 匹配渐近展开法 

分 类 号：O175.14[理学—数学]