摘要
在适当的条件下,利用奇摄动理论和匹配原理,讨论了一类非线性奇摄动两点边值问题的激波性态.构造了原问题的内部和外部解,较简捷地得到了与边界条件相对应的具有激波性态的解的表达式以及位于区间内部的激波位置.
Under appropriate conditions, using the singulary perturbed theory and the matching principle, the shock behavior for a class of the nonlinear singularly perturbed two-points boundary value problems are considered. The outer and interior solutions of the original problem are constructed. According to boundary conditions, the expressions of the solutions with shock behavior are obtained and the shock locations in interval are decided simply and conveniently.
出处
《数学进展》
CSCD
北大核心
2005年第4期497-502,共6页
Advances in Mathematics（China）
基金
Supported by the National Natural Science Foundation of China (No 10471039)the Natural Science Foundation of Zhejiang (No Y604127)Zhejiang Education Office (No 20030594)
关键词
非线性
奇摄动
激波层
性态
nonlinear
singularly perturbation
shock layer
behavior
