一类具耦合的化学反应扩散系统的奇摄动

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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.
- 奇摄动 /
- 耦合系统 /
- 反应与扩散 /
- 迭代法 /
- 上下解
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.
- singular perturbation /
- coupled systems /
- reaction and diffusion /
- iteration method /
- upper and lower solutions

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