| 二维不可压Navier-Stokes方程的广义分离变量解 |
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| 引用本文： | 王丽真,勾明,黄晴.二维不可压Navier-Stokes方程的广义分离变量解[J].西北大学学报,2008,38(6). |
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| 作者姓名： | 王丽真 勾明 黄晴 |
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| 作者单位： | 西北大学数学系/数学与科学史研究中心 |
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| 摘 要： | 目的研究二维的Navier-Stokes方程的几种分离变量解。方法利用泛函分离变量法。结果对二维不可压的Navier-Stokes方程给出了几种特殊形式的解。结论找到了几类新的解,推广了前人的研究成果。
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| 关 键 词： | 广义分离变量解 Navier-Stokes方程 流函数 |
Generalized separable solutions of incompressible Navier-Stokes equations in two dimension |
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| WANG Li-zhen,GOU Ming,HUANG Qing.Generalized separable solutions of incompressible Navier-Stokes equations in two dimension[J].Journal of Northwest University(Natural Science Edition),2008,38(6). |
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| Authors: | WANG Li-zhen GOU Ming HUANG Qing |
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| Abstract: | Aim In order to study the generalized separable solutions of the incompressible Navier-Stokes equations.Methods Using the functional separable method.Results Several special kinds of separable solutions are constructed for two dimensional incompressible Navier-Stokes equations.Conclusion New types of solutions are founded for this important system. |
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| Keywords: | generalized separable solutions Naiver-Stokes equations stream functions |
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