| 传输带上流体边界层中奇异边值问题 |
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| 引用本文： | 苏晓红,郑连存,张欣欣. 传输带上流体边界层中奇异边值问题[J]. 北京科技大学学报, 2005, 27(6): 716-719 |
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| 作者姓名： | 苏晓红 郑连存 张欣欣 |
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| 作者单位： | 1. 北京科技大学应用科学学院,北京,100083
2. 北京科技大学机械工程学院,北京,100083 |
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| 摘 要： | 对源于传输带上流体边界层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负解的存在性、惟一性的充分条件及壁摩擦应力估计式.利用打靶法技巧得到了问题的数值解.
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| 关 键 词： | 边界层 奇异边值问题 存在性 惟一性 负解 奇性 传输带 流体边界层 奇异边值问题 conveyor belt fluid boundary layer boundary value problems singular 数值解 打靶法技巧 估计式 摩擦应力 充分条件 惟一性 存在性 负解 物理意义 逼近方法 利用 研究 |
| 收稿时间： | 2004-10-09 |
| 修稿时间： | 2004-11-25 |
Nonlinear singular boundary value problems arising in the boundary layer of fluid flowing on a conveyor belt |
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| SU Xiaohong,ZHENG Liancun,ZHANG Xinxin. Nonlinear singular boundary value problems arising in the boundary layer of fluid flowing on a conveyor belt[J]. Journal of University of Science and Technology Beijing, 2005, 27(6): 716-719 |
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| Authors: | SU Xiaohong ZHENG Liancun ZHANG Xinxin |
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| Affiliation: | 1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China ;2. Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | A class of nonlinear singular boundary value problems were studied for the boundary layer of fluid flowing on a conveyor belt. Sufficient conditions for the existence and uniqueness of negative solutions to the problems were established by utilizing the monotonic approaching technique. The numerical solution was presented by using the shooting method. |
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| Keywords: | boundary layer singular boundary value problem existence uniqueness negative solution singularity |
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