摘要
本文研究了一类反应扩散方程组的奇摄动初值一边值问题.利用微分不等式理论证明了该问题存在一个解并得到了其解的渐近展开式.
In this paper, a class of singularly perturbed initial-boundary value problems for the reaction diffusion systems is considered. Using the theory of differential inequality, we prove that the initial-boundary value problems have a solution and obtain their asymptotic expansion.
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第4期375-384,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
反应扩散组
奇摄动
渐近展开式
reaction diffusion system, singular perturbation, comparison theorem, asymptotic expansion