| 一类Boussinesq方程组消失扩散极限的边界层 |
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| 引用本文： | 李华鹏,朱秀丽,徐中海,袁洪君.一类Boussinesq方程组消失扩散极限的边界层[J].吉林大学学报(理学版),2015,53(5):930-933. |
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| 作者姓名： | 李华鹏 朱秀丽 徐中海 袁洪君 |
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| 作者单位： | 1. 东北电力大学 理学院, 吉林 吉林 132012； 2. 吉林大学 数学学院, 长春 130012) |
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| 摘 要： | 利用能量估计的方法考虑一类Boussinesq方程组的初边值问题,研究当扩散系数ε→0时的边界层效应和收敛率,给出了边界层厚度的阶数O(εβ)(0β2/3).结果表明,与现有方法相比所得到的边界层厚度更薄,并且提高了收敛率.
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| 关 键 词： | 边界层 边界层厚度 收敛率 消失扩散极限 |
| 收稿时间： | 2015-07-07 |
Boundary Layer of Vanishing Diffusivity Limit for a Class of Boussinesq Equations |
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| LI Huapeng,ZHU Xiuli,XU Zhonghai,YUAN Hongjun.Boundary Layer of Vanishing Diffusivity Limit for a Class of Boussinesq Equations[J].Journal of Jilin University: Sci Ed,2015,53(5):930-933. |
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| Authors: | LI Huapeng ZHU Xiuli XU Zhonghai YUAN Hongjun |
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| Institution: | 1. College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | We considered an initial value problem for a class of Boussinesq equations using the energy estimate method. We mainly studied the boundary layer effect and the convergence rate as the thermal diffusion parameter ε→0, giving that the boundary layer thickness is of the order O(εβ) with 0<β<2/3. Comparedwith the existing methods, the present method presented more thinner BL thickness. In addition, the convergence rate was also improved. |
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| Keywords: | boundary layer BL-thickness convergence rates vanishing diffusivity limit |
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