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Some Key Concepts in Nonstandard Analysis Theory of Turbulence |
| WU Feng |
| Department of Mechanics and Mechanical Engineering, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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WU Feng 2005 Chin. Phys. Lett. 22 2604-2607 |
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Abstract Some important concepts in the nonstandard analysis theory of turbulence are presented. The point structure, on which differential equations are defined, is analysed. The distinction between the uniform point and the non-uniform point, as well as between the standard point and the nonstandard point, is shown. A new kind of equations, which differ essentially from those in existent theory, is emphasized. These new equations can hold at non-uniform points. The applicability of the Navier--Stokes equations to turbulence is discussed. Some illustrations of the nonstandard analysis theory of turbulence are also presented.
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47.27.Ak
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Published: 01 October 2005
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