| 二维Navier-Stokes方程新的精确解 |
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| 引用本文： | 费琪,周音.二维Navier-Stokes方程新的精确解[J].纺织高校基础科学学报,2011,24(3):400-402. |
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| 作者姓名： | 费琪 周音 |
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| 作者单位： | 1. 西北大学数学系,陕西西安,710127
2. 西北大学非线性研究中心,陕西西安,710069 |
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| 摘 要： | 研究二维Navier-Stokes方程的显示精确解.应用泛函分离变量法给出拟解将原方程约化为常微分方程组获得了一组新的精确解,同时应用对称法给出了另外一组新的精确解.这两组解的获得推广了前人的研究成果.
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| 关 键 词： | Navier-Stokes方程 泛函分离变量法 对称法 新的精确解 |
New exact solutions of Navier-Stokes equations in two dimension |
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| FEI Qi,ZHOU Yin.New exact solutions of Navier-Stokes equations in two dimension[J].Basic Sciences Journal of Textile Universities,2011,24(3):400-402. |
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| Authors: | FEI Qi ZHOU Yin |
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| Affiliation: | 1.Department of Mathematics,Northwest University,Xi′an 710127,China; 2.Center for Nonlinear Studies,Northwest University,Xi′an 710069,China) |
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| Abstract: | The exact solutions of two dimensional Navier-Stokes equation are discussed.Using the functional separable,the equation are reduced to ordinary differential equations.So the first exact solutions are founded.Another exact solutions are founded by the symmetric approach.The results of previous studies are extended with the two new exact solutions. |
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| Keywords: | Navier-Stokes equations the functional separable symmetric approach new exact solutions |
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