| 一类Dirichlet 边值问题周期解的存在性 |
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| 引用本文： | 孙应飞,周美珂,范天佑.一类Dirichlet 边值问题周期解的存在性[J].北京理工大学学报(英文版),1999,8(4):342-346. |
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| 作者姓名： | 孙应飞 周美珂 范天佑 |
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| 作者单位： | 1. 北京理工大学材料科学研究中心,北京,100081
2. 北京师范大学数学系,北京,100875 |
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| 摘 要： | 目的讨论不可压缩非牛顿粘性流体流动Dirichlet边值问题周期解的存在性. 此问题是在研究聚合物加工中提出来的,它描述了缝模中不可压缩非牛顿粘性流体非定常流动的规律. 方法应用单调算子理论和Schauder不动点定理进行研究. 结果与结论在合理的条件下,证明了方程组周期解的存在性定理.
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| 关 键 词： | 非牛顿流体 周期解 广义解 |
| 收稿时间： | 6/1/1998 12:00:00 AM |
Existence of Periodic Solution for a Dirichlet Problem |
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| Sun Yingfei,Zhou Meike and Fan Tianyou.Existence of Periodic Solution for a Dirichlet Problem[J].Journal of Beijing Institute of Technology,1999,8(4):342-346. |
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| Authors: | Sun Yingfei Zhou Meike and Fan Tianyou |
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| Affiliation: | Center for Research on Materials Science, Beijing Institute of Technology, Beijing 100081;Department of Mathematics, Beijing Normal University, Beijing 100875;Center for Research on Materials Science, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | Aim To discuss the existence of periodic solutions for the first boundary problem of incompressible non-Newtonian fluids, a problem arising from polymer processing and concerned with the first initial-boundary value problem of nonstationary flow of the non-Newtonian viscous incompressible fluids through slit dice. Methods The monotone operator theory and Schauder s fixed point theorem were used. Results and Conclusion The existence theorem of periodic solutions of a Dirichlet problem is proved under reasonable conditions. |
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| Keywords: | non-Newtonian fluid periodic solution generalized solution |
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