| 一类退缩非线性自由边值问题弱解的存在唯一性 |
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| 引用本文： | 谭启建,冷忠建.一类退缩非线性自由边值问题弱解的存在唯一性[J].数学杂志,2006,26(6):657-664. |
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| 作者姓名： | 谭启建 冷忠建 |
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| 作者单位： | 1. 四川教育学院数学系,四川,成都,610041
2. 四川大学数学学院,四川,成都,610064 |
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| 摘 要： | 本文研究了由非牛顿流体流动引起的一类退缩非线性自由边值问题.利用Steklov平均函数、先验估计和极限方法,证明了此自由边值问题存在唯一弱解.
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| 关 键 词： | 自由边值问题 非牛顿流体 弱解 |
| 文章编号： | 0255-7797（2006）06-0657-08 |
| 收稿时间： | 2004-06-21 |
| 修稿时间： | 2004-06-212004-10-28 |
THE EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION OF A DEGENERATE NONLINEAR FREE BOUNDARY PROBLEM |
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| TAN Qi-jian,LENG Zhong-jian.THE EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION OF A DEGENERATE NONLINEAR FREE BOUNDARY PROBLEM[J].Journal of Mathematics,2006,26(6):657-664. |
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| Authors: | TAN Qi-jian LENG Zhong-jian |
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| Institution: | 1. Dept. of Math. , Sichulan College of Education ,Chengdu 610041,China;2. College of Math. , Sichun University ,Chengdu 610064,China |
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| Abstract: | A degenerate nonlinear free boundary problem arised from the flow of non-Newtonian fluids is studied in this paper. Using Steklov average function,prior estimate and limit methods,it is proved that the free boundary problem has unique weak solution. |
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| Keywords: | free boundary problem non-Newtonian fluids weak solution |
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