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| A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION | |
| 作者姓名： | 莫嘉琪 王辉 林万涛 |
| 作者单位： | Department of Mathematics Anhui Normal University，Chinese Academy of Meteorological Sciences，LASG Institute of Atmospheric Physics Chinese Academy of Sciences，Wuhu 241000 Anhui Province P. R. China Division of Computational Science E-Institute of Shanghai Universities，at Shanghai Jiaotong University Shanghai 200240 P. R. China，Beijing 100081 P. R. China，Beijing 100029 P.R.China |
| 基金项目： | Project supported by the National Natural Science Foundation of China （ Nos. 90111011 and 10471039） ; the E-Institute of Shanghai Municipal Education Commission （N. E03004） ; the Natural Science Foundation of Zhejiang Province （Y604127） |
| 摘 要： | A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed. |
| 关 键 词： | 边界摄动 奇摄动 非线性 反馈扩散 |
| 文章编号： | 0253-4827（2005）12-1664-05 |
| 收稿时间： | 2003-09-15 |
| 修稿时间： | 2005-04-03 |
A class of nonlinear nonlocal singularly perturbed problems for reaction diffusion equations with boundary perturbation |
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| Jia-qi Mo,Hui Wang,Wan-tao Lin.A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1664-1668. | |
| Authors: | Jia-qi Mo Hui Wang Wan-tao Lin |
| Institution: | 1. Department of Mathematics, Anhui Normal University, Wuhu, Anhui Province, 241000, P. R. China 2. Division of Computational Science, E-Institute of Shanghai Universities, at Shanghai Jiaotong University, Shanghai, 200240, P. R. China 3. Chinese Academy of Meteorological Sciences, Beijing, 100081, P. R. China 4. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, P. R. China |
| Abstract: | A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed. |
| Keywords: | nonlinear reaction diffusion singular perturbation |
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