| 具有两种流体的轴对称渗流的一个自由边界问题 |
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| 引用本文： | 闻国椿.具有两种流体的轴对称渗流的一个自由边界问题[J].应用数学学报,1998,21(1):139-143. |
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| 作者姓名： | 闻国椿 |
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| 作者单位： | 北京大学数学系!北京，100871 |
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| 摘 要： | 本文处理带有两种流体的轴对称的一个自由边界问题，其中在渗流区域的上部都是油，下部是水，这是同时取油注水的一个数学模型。下面，我们将用复分析方法求出此自由边界问题的一个解，并证明其解的唯一性。
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| 关 键 词： | 自由边界问题 椭圆型复方程 渗流 轴对称渗流 |
A FREE BOUNDARY PROBLEM IN AXISYMMETRIC FILTRATION WITH TWO FLUIDS |
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| WEN GUOCHUN.A FREE BOUNDARY PROBLEM IN AXISYMMETRIC FILTRATION WITH TWO FLUIDS[J].Acta Mathematicae Applicatae Sinica,1998,21(1):139-143. |
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| Authors: | WEN GUOCHUN |
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| Abstract: | This paper deals with a free boundary problem in axisymmetric filtration withtwo fluids, where the supper level in the filtration domain is the oil and lower level is thewater, this is a mathematical model of oil extraction and water flooding simultaneously. Inwhich, describing the model is a free boundary problem for elliptic complex equation. In thefollowing, we shall use the complex method to find a solution of the free boundary problemand to prove the uniqueness of its solutions. |
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| Keywords: | Free boundary problem elliptic complex equations |
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