摘要
利用奇摄动理论和匹配原理,讨论了一类非线性奇摄动方程的激波问题.首先,构造了原问题的外部解和内层解.其次,研究了当激波在区间的边界附近和内部的激波解.最后,得出了与边界条件相对应的激波位置及解的表达式.
Using the singularly perturbed theory and the matching principle, the shock problems for a class of the nonlinear singularly perturbed equations are considered. Firstly, the outer and internal solutions of the original problem are constructed. Secondly, the shock solutions as the shock layer near the boundary and interior of the interval are studied. Finally, the expressions of the shock solution and shock location relation boundary conditions are obtained.
出处
《数学进展》
CSCD
北大核心
2005年第2期233-240,共8页
Advances in Mathematics（China）
基金
Foundation item: Supported by Important Study Project of the National Natural Science Foundation of China (No. 90211004) and the Natural Science Foundation of Zhejiang (No. 102009).
