| 源于膨胀波边界层理论中的一类奇异边值问题 |
| |
| 引用本文： | 徐云滨,郑连存. 源于膨胀波边界层理论中的一类奇异边值问题[J]. 数学研究及应用, 2008, 28(3): 558-566. DOI: 10.3770/j.issn.1000-341X.2008.03.014 |
| |
| 作者姓名： | 徐云滨 郑连存 |
| |
| 作者单位： | 北京科技大学应用科学学院, 北京 100083; 榆林学院数学系, 山西 榆林 719000;北京科技大学应用科学学院, 北京 100083 |
| |
| 基金项目： | %国家自然科学基金(No.50476083). |
| |
| 摘 要： | 对源于膨胀波边界层理论中的一类奇异边值问题进行了研究,利用单调逼近方法得到了满足物理意义上正解的存在性和唯一性的充分条件,同时给出了用速度比例参数表示的壁摩擦的估计公式, 利用打靶法技巧得到了问题的数值解.数值结果证明了估计公式的可靠性和有效性.
|
| 关 键 词： | 膨胀波 边界层 奇异边值问题 存在性和唯一性 正解 壁摩擦 估计式. |
| 收稿时间： | 2006-05-15 |
| 修稿时间： | 2006-08-28 |
Singular Nonlinear Boundary Value Problems Arising in the Boundary Layer Behind Expansion Wave |
| |
| XU Yun Bin and ZHENG Lian Cun. Singular Nonlinear Boundary Value Problems Arising in the Boundary Layer Behind Expansion Wave[J]. Journal of Mathematical Research with Applications, 2008, 28(3): 558-566. DOI: 10.3770/j.issn.1000-341X.2008.03.014 |
| |
| Authors: | XU Yun Bin and ZHENG Lian Cun |
| |
| Affiliation: | 1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China;Department of Mathematics, Yulin College, Shanxi 719000, China
2. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China |
| |
| Abstract: | A class of singular nonlinear boundary value problems arising in the boundary layer behind expansion wave are studied. Sufficient conditions for the existence and uniqueness of positive solutions to the problems are established by utilizing the monotonic approaching technique. And a theoretical estimate formula for skin friction coefficient is presented. The numerical solution is presented by using the shoot method. The reliability and efficiency of the theoretical prediction are verified by numerical results. |
| |
| Keywords: | expansion wave boundary layer singular boundary value problems existence and uniqueness positive solution skin friction estimation. |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
