| 关于Navier-Stokes流的算术均值 |
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| 引用本文： | 张余. 关于Navier-Stokes流的算术均值[J]. 内蒙古大学学报(自然科学版), 2003, 34(1): 6-9 |
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| 作者姓名： | 张余 |
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| 作者单位： | 内蒙古工业大学基础部,内蒙古,呼和浩特,010062 |
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| 摘 要： | 证明了可以选出具有相同的外部条件的三维Navier-Stokes流{u^（n)}，使其算术均值u^-n=(u^(1) … u^(N)/N有极限并且此极限是Navierp-Stokes流，从而部分地为统计流体动力学提供了数学的根据。
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| 关 键 词： | 三维Navier－Stokes流 算术均值 统计流体动力学 极限 |
On Arithmetic Means for the Navier-Stokes Flows |
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| Abstract. On Arithmetic Means for the Navier-Stokes Flows[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2003, 34(1): 6-9 |
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| Authors: | Abstract |
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| Abstract: | It is proved that a sequence {u(n)}of the 3D Navier Stokes flows with the same extern al condition can be selected so that the arithmetic means u- N=(u(1)+…+u(N))/Nhas a limit which is a Navier-Stokes flow.This supplies partly a mathematical basis to the statistical fluid mechanics. |
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| Keywords: | 3D Navier-Stokes flow arithmetic mean statistical fluid mechanics |
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