| 一类小周期椭圆方程的三重尺度渐近分析 |
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| 引用本文： | 黄志远,冯永平,易璇.一类小周期椭圆方程的三重尺度渐近分析[J].纯粹数学与应用数学,2016,32(5):495-504. |
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| 作者姓名： | 黄志远 冯永平 易璇 |
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| 作者单位： | 广州大学数学与信息科学学院,广东 广州,510006;广州大学数学与信息科学学院,广东 广州,510006;广州大学数学与信息科学学院,广东 广州,510006 |
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| 基金项目： | 国家自然科学基金资助项目(11671304)，广州市属高校科技计划基金(1201430652) |
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| 摘 要： | 利用三重尺度方法对一类小周期椭圆方程进行了三重尺度渐近展开分析,构造了对应的三重尺度形式渐近展开式,得到了均匀化常数和均匀化方程.在形式渐近展开的基础上,构造了对应边值问题解的三重尺度渐近近似解,并分析了对应三重尺度形式渐近误差估计.
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| 关 键 词： | 椭圆方程 三重尺度方法 渐近展开 |
The asymptotic expression based on the triple-scale method for one class of small periodic elliptic equation |
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| Huang Zhiyuan,Feng Yongping,Yi Xuan.The asymptotic expression based on the triple-scale method for one class of small periodic elliptic equation[J].Pure and Applied Mathematics,2016,32(5):495-504. |
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| Authors: | Huang Zhiyuan Feng Yongping Yi Xuan |
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| Abstract: | By means of the triple-scale method the asymptotic expression for one class of small periodic elliptic equation is analyzed. Firstly, the formal asymptotic expansion is constructed, and the homogenization constants and equation are obtained. Then based on formal asymptotic expansion the asymptotic approximation solution is constructed and the corresponding error is analyzed. |
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| Keywords: | elliptic equation triple-scale method asymptotic expansion |
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