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一类具耦合的化学反应扩散系统的奇摄动
Singular Perturbation for a Class of Coupled Chemical Reaction and Diffusion Systems
【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。
【Abstract】 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.
【关键词】 奇摄动;
耦合系统;
反应与扩散;
迭代法;
上下解;
【Key words】 singular perturbation; coupled systems; reaction and diffusion; itera- tion method; upper and lower solutions;
【Key words】 singular perturbation; coupled systems; reaction and diffusion; itera- tion method; upper and lower solutions;
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,1995年06期
- 【分类号】O175.2
- 【下载频次】29