| 奇异摄动抛物方程初边值问题角层解的高阶渐近近似 |
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| 引用本文： | 曾建,陈松林.奇异摄动抛物方程初边值问题角层解的高阶渐近近似[J].安徽工业大学学报,2009,26(4):440-443. |
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| 作者姓名： | 曾建 陈松林 |
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| 作者单位： | 安徽工业大学,数理学院,安徽,马鞍山,243002 |
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| 摘 要： | 讨论了一类具角层现象的奇摄动非线性边值问题。在适当的条件下，利用伸长变量和幂级数展开理论构造出解的高阶形式渐近展开式。最后利用微分不等式理论，讨论了形式渐近展开式的一致有效性。
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| 关 键 词： | 奇摄动 边值问题 微分不等式 渐近展开式 一致有效性 |
Corner Layer for a Higher-order Asymptotic Solutions of Initial Boundary Value Problem for a Singularly Perturbed Parabolic Equation |
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| ZENG Jian,CHEN Song-lin.Corner Layer for a Higher-order Asymptotic Solutions of Initial Boundary Value Problem for a Singularly Perturbed Parabolic Equation[J].Journal of Anhui University of Technology,2009,26(4):440-443. |
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| Authors: | ZENG Jian CHEN Song-lin |
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| Affiliation: | (School of Mathematics ＆ Physics, Anhui University of Technology, Ma＇anshan 243002, China) |
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| Abstract: | The singularly perturbed nonlinear boundary value problems are considered. Under suitable conditions, firstly, the higher order formal asymptotic expression of the solution of original problem is obtained by using the stretched variable and the expanding theory of power series, and secondly, by using the theory of differential inequalities the uniform validity of the formal solution are studied. |
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| Keywords: | singular perturbation boundary value problem differential inequality asymptotic expansion uniform validity |
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