摘要
本文研究一类带耦合项的化学反应扩散方程组解的性态,利用上下解理论证得解的存在性,然后在一定的参数环境下考虑了相应的奇摄动问题,并给出一致有效的渐近解。
In this paper,singular perturbation for a class of coupled chemical reaction diffusion system with initial and Neumann boundary conditions is considered. Under some suitable conditions and restrictions,we obtain a uniformly valid asymptotic solution of the stated system by using the iteration method and the method of upper and lower solutions.
出处
《应用数学和力学》
CSCD
北大核心
1995年第6期511-517,共7页
Applied Mathematics and Mechanics
关键词
奇摄动
迭代法
扩散反应方程
化学反应
解
singular perturbation,coupled systems,reaction and diffusion,itera- tion method,upper and lower solutions