| 非线性方程奇摄动问题的激波解 |
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| 引用本文： | 欧阳成,韩祥临. 非线性方程奇摄动问题的激波解[J]. 数学季刊, 2002, 17(4): 27-33 |
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| 作者姓名： | 欧阳成 韩祥临 |
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| 作者单位： | 湖州师范学院数学系 浙江湖州313000(欧阳成)，湖州师范学院数学系 浙江湖州313000(韩祥临) |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina( 10 0 714 0 8) |
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| 摘 要： | 利用匹配渐近展开法讨论了非线性方程奇摄动问题的激波解及其位置，并得出了它们与边界条件的关系。
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| 关 键 词： | 非线性方程 奇摄动问题 激波解 匹配渐近展开 常微分方程 边界层 |
The Shock Solution for Singularly Perturbed Problem of Nonlinear Equation |
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| OUYANG Cheng,HAN Xiang-lin. The Shock Solution for Singularly Perturbed Problem of Nonlinear Equation[J]. Chinese Quarterly Journal of Mathematics, 2002, 17(4): 27-33 |
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| Authors: | OUYANG Cheng HAN Xiang-lin |
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| Abstract: | In this paper, by using the matching asymptotic expanding method, the shock solutions and their locations of a singularly perturbed problem for a nonlinear equation are considered. And the relation of them with the boundary conditions is obtained. |
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| Keywords: | nonlinear equation singular perturbation shock wave boundary layer |
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