| Navier-Stokes方程的相似解 |
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| 引用本文： | 王昌逸,洪柳.Navier-Stokes方程的相似解[J].力学进展,2006,36(1):31-35. |
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| 作者姓名： | 王昌逸 洪柳 |
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| 作者单位： | 清华大学周培源应用数学研究中心 |
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| 摘 要： | 综述了Navier-Stokes方程的相似解,
表明几乎所有已知的非线性相似解都可以通过伸缩变换的方法得到.
论述了相似解所需要满足的条件: 定常解下,
速度或与坐标成正比或与坐标成反比; 非定常解的存在,
还依赖于某些特殊的时间关系.
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| 关 键 词： | Navier-Stokes方程 相似解 精确解 伸缩变换 |
| 收稿时间： | 06 9 2005 12:00AM |
| 修稿时间： | 2005-06-092005-10-25 |
SIMILARITY SOLUTIONS OF THE NAVIERSTOKES EQUATIONS |
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| WANG Changyi,HONG Liu.SIMILARITY SOLUTIONS OF THE NAVIERSTOKES EQUATIONS[J].Advances in Mechanics,2006,36(1):31-35. |
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| Authors: | WANG Changyi HONG Liu |
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| Institution: | 1.Zhou Peiyuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China ;2.Department of Mathematics, Michigan State University, USA |
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| Abstract: | Similarity solutions of the Navier-Stokes equations are reviewed. It is shownthat the method of stretching leads to all existing significant nonlinear solutions. The steady state solutions are either inversely proportional or proportional to distance. The unsteady solutions have a very specific time dependence. |
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| Keywords: | Navier-Stokes equations similarity solution exact solution stretching transform |
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