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| 一类双参数奇摄动非线性反应扩散方程 |
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莫嘉琪,姚静荪
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1. 安徽师范大学数学系,安徽,芜湖,241000;上海高校计算科学E-研究院SJTU研究所,上海,200240
2. 安徽师范大学数学系,安徽,芜湖,241000
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| 摘要: |
| 本文研究了一类双参数非线性反应扩散奇摄动问题的模型.利用奇摄动方法,对该问题解的结构在两个小参数相互关联的情形下作了讨论.得到了该问题的渐近解,由解的展开式看出本问题的解同时具有初始层和边界层. |
| 关键词: 非线件 双参数 奇摄动 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金项目，国家重点基础研究发展规划项目，中国科学院知识创新工程方向性项目KZCX3-SW-221)，上海市教育委员会E-研究院建设计划项目 |
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| A CLASS OF SINGULARLY PERTURBED NONLINEAR REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS |
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MO Jia-qi,YAO Jing-sun
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MO Jia-qi~(1,2),YAO Jing-sun~1 (1.Department of Mathematics,Anhui Normal University,Wuhu 241000,China) (2.Division of Computational Science,E-Institute of Shanghai Universities at SJTU,Shanghai 200240,China)
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| Abstract: |
| In this paper,a class of models for nonlinear reaction diffusion singularly perturbed problem with two parameters is studied.Using the singular perturbation method,the structure of solution for the problem is discussed related two small parameters.The asymptotic solution of the problem is given.And from the expansion for solution,it shows that there are initial layer and boundary layer at the same time. |
| Key words: nonlinear two parameters singular perturbation |
