| 各向异性非均质土坝渗流中的一个自由边界问题 |
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| 引用本文： | 许作良.各向异性非均质土坝渗流中的一个自由边界问题[J].辽宁工学院学报,1997,17(4):57-60. |
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| 作者姓名： | 许作良 |
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| 作者单位： | 辽宁工学院数学教研室 |
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| 摘 要： | 讨论了各向异性非均质土坝渗流中的一个自由边界问题。先利用Ｍｏｎａｋｈｏｖ方法［１］对这类问题建立起了数学模型，然后将其转化为非线性椭圆型复方程的混合边值问题，最后使用复方程和边值问题的理论［２］，证明了这个问题解的存在唯一性。
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| 关 键 词： | 各向异性 非均质 渗流 自由边界问题 |
A Free Boundary Problem Involving Filtration of Nonhomogeneous Anisotripic Dam |
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| Xu Zuoliang.A Free Boundary Problem Involving Filtration of Nonhomogeneous Anisotripic Dam[J].Journal of Liaoning Institute of Technology(Natural Science Edition),1997,17(4):57-60. |
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| Authors: | Xu Zuoliang |
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| Affiliation: | Xu Zuoliang |
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| Abstract: | The paper discussed a free boundary problem involving fltration of nonhomogeneous anisotropic dam. In the first place, a mathematics model about this kind of problem was established by applying Monakhov method, and then it was converted into a mixed boundary value problem for nonlinear elliptic complex equations. Finally, the existence and uniqueness of this prolem was proved by means of the theory on complex equations and boundary value problems. |
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| Keywords: | anisotropy nonhomogeneous media filtration free boundary problem |
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