| 反应扩散方程的奇摄动 |
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| 引用本文： | 莫嘉琪,王辉,朱江.反应扩散方程的奇摄动[J].高校应用数学学报(英文版),2003,18(3):251-257. |
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| 作者姓名： | 莫嘉琪 王辉 朱江 |
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| 作者单位： | Mo Jiaqi Wang Hui Zhu Jiang1 Dept. of Math.，Huzhou Teachers College，Huzhou 313000，China. 2 Committee of National Natural Sciences Foundation of China，Beijing 100085，China. 3 ICEES，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100029，China. |
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| 基金项目： | Supported by the National Natural Scince Foundation of China( 1 0 0 71 0 4 8) ,and the“Hundred Talents
Project”of Chinese Academy of Sciences |
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| 摘 要： | § 1 IntroductionThe nonlinearsingularly perturbed problem is a very attractive subjectof study in theinternational academic circles1 ] .During the past decade many approximate methods havebeen developed and refined,including the method of average,boundary layer method,matched asymptotic expansions,and multiple scales.Recently,many scholars,for example,Bohé2 ] ,Butuzov and Smurov3] ,O Malley4] ,Butuzov,Nefedov and Schneider5] ,Kelley6]and so on did a great deal of work.Mo consider…
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| 收稿时间： | 5 July 2002 |
Singular perturbation for reaction diffusion equations |
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| Mo Jiaqi,Wang Hui,Zhu Jiang.Singular perturbation for reaction diffusion equations[J].Applied Mathematics A Journal of Chinese Universities,2003,18(3):251-257. |
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| Authors: | Mo Jiaqi Wang Hui Zhu Jiang |
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| Institution: | (1) Dept. of Math., Huzhou Teachers College, 313000 Huzhou, China;(2) Committee of National Natural Sciences Foundation of China, 100085 Beijing, China;(3) ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing, China |
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| Abstract: | The singularly perturbed initial boundary value problems for reaction diffusion equations are considered.Under suitable conditions and by using the theory of differential inequality,the asymptotic behavior of solution for initial boundary value problems are studied,where the reduced problems possess two intersecting solutions. |
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| Keywords: | nonlinear reaction diffusion equation singular perturbation |
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